Luckily the actual report has all that info

Underemployment stats look a bit better. The number of part-timer workers for economic reasons is slightly down. Was 4.7 million in August vs 4.5 million in September. By economic reasons the BLS defines that as

economic reason such as slack work or unfavorable business conditions, inability to find full-time work, or seasonal declines in demand.

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Here’s the stats by industry

Here’s the overview they gave of that

In September, employment continued to trend up in food services and drinking places, health care, government, social assistance, and construction

[…]

Employment showed little change over the month in other major industries, including mining, quarrying, and oil and gas extraction; manufacturing; wholesale trade; retail trade; transportation and warehousing; information; financial activities; professional and business services; and other services.