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Your numbers are technically correct since you only gave one significant figure, but you're still rounding off more than $300 billion and also forgetting to count almost $400 billion in smaller programs.

Out of $4.4 trillion:

Social security - $1 trillion - 23%

Medicare - $644 billion - 15%

Medicaid - $409 billion - 9%

SNAP, EITC, Unemployment, SSI and other Income Security Programs - $303 billion mandatory spending + $73 billion - 8%

That's about 55% of the total on various parts of the safety net.

[1] https://www.cbo.gov/publication/56324



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