All Fermi answers
Fermi #69 · Question 2

How many police officers work for the New York City Police Department?

Explore the official answer and the simple reasoning behind this Fermi estimate.

2QUESTION 2 OF 3

Answer & explanation

The official answer, with Fermi’s reasoning step by step.

Answer & explanation

Official answer

34,000

officers

How to estimate it

Fermi’s official “Napkin math”

The easiest place to start is New York City's population, about 8.5 million. How many officers does a big city budget for relative to its size? Roughly 1 for every 250 residents, which works out to about 34,000 officers.

NYC population, roughly
8,500,000
Officers budgeted per resident
÷ 250
≈ result
34,000

Rounded assumptions may give a slightly different estimate. The official answer above is the game’s reference value.

Source calculation & reference
Authorized/budgeted uniformed headcount, FY2024
~35,000-36,000
Actual on-board uniformed headcount during 2024 (after attrition)
~34,000
≈ result
34,000

Reference cited by Fermi: NYPD staffing figures via Vital City NYC, 2024

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