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The reported nonfarm payroll jobs are jobs created and job openings filled minus jobs lost: https://www.democraticunderground.com/10143221098#post24

The headline payroll job numbers (142,000 in August) come from the Establishment Survey
https://data.bls.gov/timeseries/CES0000000001
Monthly changes (in thousands): https://data.bls.gov/timeseries/CES0000000001?output_view=net_1mth
YEAR: JAN FEB MAR etc.
2022: 251 862 494 272 286 420 690 243 255 361 258 136
2023: 482 287 146 278 303 240 184 210 246 165 182 290
2024: 256 236 310 108 216 118 89 142 (Sum is 1475 year to date, that's 1.475 million)
The last 2 months (July and Aug) are preliminary, subject to revisions

# Employed in thousands (168,000 in August) come from the separate Household Survey, http://data.bls.gov/timeseries/LNS12000000
Monthly changes (in thousands): http://data.bls.gov/timeseries/LNS12000000?output_view=net_1mth
If one adjusts the date range from 2021 to 2024, the graph is much more meaningful because it leaves out the huge swings of 2020 that greatly enlarges the Y axis and makes what follows look like tiny almost undiscernible squiggles around the zero axis
YEAR: JAN FEB MAR etc.
2022: 942 462 691 --331 426 --198 166 476 136 --165 --244 815
2023: 852 149 523 138 --255 297 205 291 50 --270 586 --683
2024: --31 --184 498 25 --408 116 67 168 (Sum is 251 year to date. That's 251,000 more employed.
Compare to the above series: 1.475 million more jobs)
January and February of each year are affected by changes in population controls.
A very volatile data series from month to month. I used a double minus to make the negative ones stand out a little better
This Household Survey also produces the unemployment rate and labor force participation rate among many other stats

REVISIONS of the prior 2 months: down 86,000, from the BLS news release:
https://www.bls.gov/news.release/empsit.nr0.htm

So compared to the report that came out one month ago we have 142,000 - 86,000 = 56,000 net new payroll jobs reported.

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LINKS to some BLS Data Series Numbers and Graphs

Table A - Summary of Household Survey (produces unemployment rate, labor force participation rate) - https://www.bls.gov/news.release/empsit.a.htm

Table B - Summary of Establishment Survey (produces the headline payroll jobs number and the average earnings) - https://www.bls.gov/news.release/empsit.b.htm

Every one of these data series comes with a table and graph:

# Nonfarm Employment (Establishment Survey, https://data.bls.gov/timeseries/CES0000000001
Monthly changes (in thousands): https://data.bls.gov/timeseries/CES0000000001?output_view=net_1mth
   NOT SEASONALLY ADJUSTED: https://data.bls.gov/timeseries/CEU0000000001

# Employed in thousands from the separate Household Survey, http://data.bls.gov/timeseries/LNS12000000
Monthly changes (in thousands): http://data.bls.gov/timeseries/LNS12000000?output_view=net_1mth
   NOT SEASONALLY ADJUSTED: https://data.bls.gov/timeseries/LNU02000000

# Nonfarm PRIVATE Employment (Establishment Survey, https://data.bls.gov/timeseries/CES0500000001
Monthly changes: https://data.bls.gov/timeseries/CES0500000001?output_view=net_1mth
    ^-Good for comparison to the ADP report that typically comes out a few days earlier
NOT SEASONALLY ADJUSTED: https://data.bls.gov/timeseries/CEU0500000001

Earnings of Production and Non-Supervisor Workers (PANSW)
. . . # INFLATION ADJUSTED Hourly Earnings of PANSW http://data.bls.gov/timeseries/CES0500000032
. . . # INFLATION ADJUSTED Weekly Earnings of PANSW http://data.bls.gov/timeseries/CES0500000031
----- Nominal means NOT inflation adjusted. Just plain ordinary greenbacks ----
. . . # Nominal Hourly Earnings of PANSW- http://data.bls.gov/timeseries/CES0500000008
. . . # Nominal Weekly Earnings of PANSW - http://data.bls.gov/timeseries/CES0500000030

# Labor Force http://data.bls.gov/timeseries/LNS11000000?output_view=net_1mth

The labor force is the sum of employed and unemployed. To count as unemployed, one must have actively sought work in the past 4 weeks (just looking at want ads and job postings doesn't count)

# ETPR (Employment-To-Population Ratio) aka Employment Rate http://data.bls.gov/timeseries/LNS12300000

# LFPR (Labor Force Participation rate) http://data.bls.gov/timeseries/LNS11300000

Unemployed, Unemployment Rate
# Unemployed http://data.bls.gov/timeseries/LNS13000000
# Unemployment rate http://data.bls.gov/timeseries/LNS14000000
    # Black unemployment rate (%), https://data.bls.gov/timeseries/LNS14000006
    # Hispanic or Latino unemployment rate (%), https://data.bls.gov/timeseries/LNS14000009
    # White unemployment rate (%), https://data.bls.gov/timeseries/LNS14000003
# U-6 unemployment rate http://data.bls.gov/timeseries/LNS13327709
------------ end unemployed, unemployment rates --------

# NILF -- Not in Labor Forcehttp://data.bls.gov/timeseries/LNS15000000

# NILF-WJ -- Not in Labor Force, Wants Job http://data.bls.gov/timeseries/LNS15026639

# Part-Time Workers who want Full-Time Jobs (Table A-8's Part-Time For Economic Reasons) http://data.bls.gov/timeseries/LNS12032194

# Part-Time Workers (Table A-9) http://data.bls.gov/timeseries/LNS12600000

# Full-Time Workers (Table A-9) http://data.bls.gov/timeseries/LNS12500000

# Multiple Job holders (Table A-9) - http://data.bls.gov/timeseries/LNS12026619

# Multiple Jobholders as a Percent of Employed (Table A-9) https://data.bls.gov/timeseries/LNS12026620

# Civilian non-institutional population
Seasonally adjusted (they seem to have gotten rid of this) https://data.bls.gov/timeseries/LNS10000000
NOT seasonally adjusted: https://data.bls.gov/timeseries/LNU00000000
. . In Table A-1 https://www.bls.gov/news.release/empsit.t01.htm they show the same numbers for seasonally adjusted and non-seasonally adjusted

LFPR - Labor Force Participation Rate for some age groups
The LFPR is the Employed + jobless people who have looked for work in the last 4 weeks (and say they want a job and are able to take one if offered. Looking for work involves more than just looking at job listings). All divided by the civilian non-institutional population age 16+ (in the case of the regular LFPR, or divided by the civilian non-institutional population of whatever age, gender, race etc. for the various sub-demographic measures. For example. the LFPR of age 25-54 females is the number of those employed or actively seeking work divided by the civilian non-institutional population of age 25-54 females.)

SA means Seasonally adjusted. NSA means Not Seasonally Adjusted
16+: SA: http://data.bls.gov/timeseries/LNS11300000 NSA: http://data.bls.gov/timeseries/LNU01300000
25-34: SA: http://data.bls.gov/timeseries/LNS11300089 NSA: http://data.bls.gov/timeseries/LNU01300089
25-54 ("Prime Age" ): SA: http://data.bls.gov/timeseries/LNS11300060 NSA: http://data.bls.gov/timeseries/LNU01300060
55-64: -------------------- NSA: https://data.bls.gov/timeseries/LNU01300095
55+: SA: http://data.bls.gov/timeseries/LNS11324230 NSA: http://data.bls.gov/timeseries/LNU01324230
65+: SA: ---------------- NSA: http://data.bls.gov/timeseries/LNU01300097

LFPR - Labor Force Particpation Rate (prime age 25-54) by gender
All: http://data.bls.gov/timeseries/LNS11300060
Men: http://data.bls.gov/timeseries/LNS11300061
Women: http://data.bls.gov/timeseries/LNS11300062

More LFPR links including by race: https://www.democraticunderground.com/111695870

ETPR - Employment to Population Ratio for some age groups
SA means Seasonally adjusted. NSA means Not Seasonally Adjusted
16+: SA: http://data.bls.gov/timeseries/LNS12300000 NSA: http://data.bls.gov/timeseries/LNU02300000
25-34: http://data.bls.gov/timeseries/LNS12300089 NSA: http://data.bls.gov/timeseries/LNU02300089
25-54 ("Prime Age" ): SA: http://data.bls.gov/timeseries/LNS12300060 NSA: http://data.bls.gov/timeseries/LNU02300060
55-64: SA: ---------------- NSA: https://data.bls.gov/timeseries/LNU02300095
55+: SA: http://data.bls.gov/timeseries/LNS12324230 NSA: http://data.bls.gov/timeseries/LNU02324230
65+: SA: ---------------- NSA: http://data.bls.gov/timeseries/LNU02300097

Data series finder (employment/unemployment related): https://www.bls.gov/data/#employment

The entire report: http://www.bls.gov/news.release/pdf/empsit.pdf

Inflation rate (CPI)
. . . Monthly report: https://www.bls.gov/news.release/cpi.nr0.htm
. . . Regular CPI: https://data.bls.gov/timeseries/CUSR0000SA0?output_view=pct_1mth
. . . Core CPI: http://data.bls.gov/timeseries/CUSR0000SA0L1E?output_view=pct_1mth
. . . Energy: https://data.bls.gov/timeseries/CUSR0000SA0E?output_view=pct_1mth
. . . Food: https://data.bls.gov/timeseries/CUSR0000SAF1?output_view=pct_1mth
. . . Food at home (groceries): https://data.bls.gov/timeseries/CUSR0000SAF11?output_view=pct_1mth
. . . Calculator at: https://www.bls.gov/data/inflation_calculator.htm
. . . One Screen Data Search for CPI components: https://data.bls.gov/PDQWeb/cu

Grocery prices (food at home) inflation compared to overall inflation rate
. . . . . https://www.in2013dollars.com/Food-at-home/price-inflation
. . . From 1947 to 2021 and from 2000 to 2021, food at home inflation very slightly lagged the overall inflation rate
. . . . . https://www.democraticunderground.com/10142735789


Archives of previous reports - The monthly payroll employment reports from the BLS are archived at Archived News Releases (https://www.bls.gov/bls/news-release/ ). In the list up at the top, under Major Economic Indicators, select Employment Situation ( https://www.bls.gov/bls/news-release/empsit.htm ). That opens up links to reports going back to 1994.