Six different percentage calculators in one — pick the type you need.
X% of Y = (X/100) × Y
X is what % of Y = (X/Y) × 100
% Change = ((New−Old)/|Old|) × 100
Increase by % = Value × (1 + %/100)
Decrease by % = Value × (1 − %/100)
① 15% of 200: (15/100) × 200 = 30
② 30 is what % of 200: (30/200) × 100 = 15%
③ Change from 100 to 135: ((135−100)/100) × 100 = +35%
④ 500 increased by 20%: 500 × 1.20 = 600; decreased by 20%: 500 × 0.80 = 400
⑤ 45 out of a total of 360: (45/360) × 100 = 12.5%
⑥ 120 after a 20% increase: original = 120/1.20 = 100; if 120 was after a 20% decrease: 120/0.80 = 150
Exam marks (scored ÷ total × 100), discounts and sales (final price = MRP × (1 − discount%/100)), GST and tax (add or remove a tax percentage), profit and loss in business, salary hikes (old vs new pay), tips at restaurants, and interest on loans and deposits.
Q: How do I calculate the percentage of marks?
A: Divide the marks scored by the total marks and multiply by 100. For example, 450 out of 500 is (450/500) × 100 = 90%. Use calculator ② or ⑤ above for this.
Q: What is the difference between percentage change and percentage points?
A: Percentage change is relative to the old value; percentage points are the simple difference between two percentages. If a rate goes from 8% to 10%, that is +2 percentage points but a +25% change ((10−8)/8 × 100).
Q: Can a percentage be more than 100%?
A: Yes. A percentage above 100% simply means the value exceeds the reference whole - for example, 250 is 125% of 200.
Q: How do I find the original price before a discount or increase?
A: Use the reverse percentage: divide the final value by (1 − discount%/100) for a discount, or by (1 + increase%/100) for an increase. Example: if an item costs ₹800 after a 20% discount, the original price was 800/(1−0.20) = ₹1,000. Calculator ⑥ above does this.
Q: How is GST a percentage calculation?
A: GST at 18% on a base of ₹1,000 is (18/100) × 1,000 = ₹180, making the total ₹1,180. To remove GST from a tax-inclusive price, divide by 1.18.
Q: What does a negative percentage change mean?
A: A negative result means the value decreased. A change from 200 to 150 is −25%, i.e. a 25% decrease.
Calculatr