Percentage Increase from 120 to 138
Formula, step-by-step solution, and real-world examples.
Percentage Increase
+15%
((138 − 120) ÷ 120) × 100 = 15%
Formula
% change = ((New − Old) ÷ Old) × 100
Old value 120
New value 138
Difference +18
Result +15%
Step-by-Step
1
Subtract old from new
138 − 120 = 18
2
Divide by original
18 ÷ 120 = 0.15
3
Multiply by 100
= 15%
4
Verify
120 × 1.15 = 138 ✓
Difference
+18
Multiplier
× 1.15
Result
+15%
Real-World Context
Going from $120 to $138 represents a 15% increase of $18.00. Common in retail pricing, subscription hikes, and service rate changes.
Frequently Asked Questions
What is the percentage increase from 120 to 138?
The percentage increase from 120 to 138 is 15%. Formula: ((138 − 120) ÷ 120) × 100 = 15%.
What is 15% increase from 120?
A 15% increase from 120 gives 138. Calculation: 120 × 1.15 = 138.
How do you verify 15% increase from 120 equals 138?
Multiply 120 × (1 + 15/100) = 120 × 1.15 = 138. ✓
Is 15% increase the same as 15 percentage points?
No. A percentage increase is relative (based on the starting value). Percentage points describe absolute difference.
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