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The 30% rule and the 40× rule are the same formula: your income ÷ 40.
Every rent-affordability article quotes the 30% rule — almost none mention that New York's famous "40× the rent" requirement is the identical formula (30% of monthly gross = annual income ÷ 40), that landlord 3×-income rules are looser at 33%, or that all of them run on gross income, not the paycheck you actually see. This calculator shows every rule side by side, subtracts your real debts from the envelope, and grades the apartment you are eyeing against HUD's cost-burden thresholds.
Apartment hunters use it before the showing, not after the rejection: the 30% rule and the landlord's 40× requirement are the same formula (income ÷ 40), the 3× rule is looser, and all of them run on gross pay — so the tool shows what the rules allow, what your debts leave, and the exact HUD burden status of the place you want.
$1,500/month under the 30% rule ($60,000 ÷ 40). The landlord 3×-income rule allows $1,667; a conservative 25%-of-gross target is $1,250. But remember the rule uses gross income: at a typical ~78% take-home, that $1,500 is about 38% of your real paycheck. With $300/month of car or card payments, the honest 30%-rule ceiling drops to $1,200.
Yes — identical math. 30% of monthly gross income is annual income × 0.30 ÷ 12, which equals annual income ÷ 40 exactly. So "your income must be 40× the rent" and "spend no more than 30% on rent" are one rule wearing two costumes. The 3×-monthly-rent rule some landlords use is the looser cousin: it allows 33.3% of gross.
HUD's official definitions: spending 30–50% of gross income on housing makes a household cost-burdened; over 50% is severely cost-burdened. These thresholds matter beyond vocabulary — they drive housing-assistance eligibility and are the benchmark researchers use when they say most low-income renters are burdened. If your target rent pushes you past 30%, the calculator shows exactly which rule you are breaking and by how much.