Basis Point (BPS) Calculator
Convert between decimal, percent, permille, and basis points. Plus, find what x bps is of a value.
🔢Decimal value
?
Enter a number (can be 0 or negative for decreases).
📈Percent
?
%
Enter a percent (e.g., 1.5 for 1.5%).
🧪Permille
?
‰
Enter permille (‰) value.
🎯Basis points
?
bps
Enter BPS (can be negative to indicate a decrease).
🧮What is x bps of y?
?
🎚️x bps
Enter BPS (e.g., 25 = 0.25%).
💰of…
$
Enter base amount ≥ 0.
✅equals…
$
Result must be ≥ 0.
Formula: equals = y × (bps ÷ 10,000)
⚡Quick summary
Inputs detected
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Percent & Decimal
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x bps of y
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📝Step-by-step derivation
Relations:
percent = decimal × 100, permille = decimal × 1000, bps = decimal × 10000decimal = percent ÷ 100 = permille ÷ 1000 = bps ÷ 10000Monetary change:
equals = y × (bps ÷ 10000)Substitute:
…Solve:
…
📚Reference table & sources
| Topic | Summary | Source |
|---|---|---|
| What is a basis point? | 1 bp = 0.01% = 0.0001 (decimal); 100 bp = 1%. | Investopedia — Basis Point |
| bps ↔ % ↔ decimal | bps = % × 100; % = bps ÷ 100; decimal = bps ÷ 10000 |
WSP — Basis Points (bps) |
| Permille (‰) | Per thousand; % = ‰ ÷ 10; bps = ‰ × 10 |
Percent/permille relations |
Links are for background reading; the calculator computes everything directly.