Percentage Calculator
Solve all percentage problems: Value of %, % of value, and Percentage Change.
Quick Percentages
1. Calculate Percentage Value
2. Find Percentage
3. Percentage Change
Essential Math for Daily Life
Percentages are everywhere. From shopping discounts to bank interest rates, mastering them saves you money.
3 Common Scenarios Covered:
- Percentage of a Number:
- Question: “What is 18% GST on ₹5,000?”
- Calculation: 0.18 × 5000 = ₹900.
- Percentage Change:
- Question: “My salary went from ₹50k to ₹60k. What is the hike?”
- Calculation: (10k / 50k) × 100 = 20%.
- Part of a Whole:
- Question: “I scored 450 out of 600. What is my %?”
- Calculation: (450 / 600) × 100 = 75%.
Frequently Asked Questions
How do I calculate X percent of Y?
Multiply the number by the percentage fraction. Formula: `(Percentage / 100) * Number`. Example: 20% of 500 = (20/100) * 500 = 100.
How to calculate percentage increase?
Step 1: Find the difference (New - Old). Step 2: Divide difference by Old Value. Step 3: Multiply by 100. Formula: `((New - Old) / Old) * 100`.
How to calculate percentage decrease?
The formula is the same as increase! `((New - Old) / Old) * 100`. If the result is negative, it represents a percentage decrease.
How to find what percentage X is of Y?
Divide X by Y and multiply by 100. Formula: `(X / Y) * 100`. Example: 50 is what % of 200? (50/200)*100 = 25%.
How to reverse calculate GST/Tax (Inclusive)?
To calculate the original price from a tax-inclusive price: `Original = Total / (1 + Tax%)`. Example: ₹118 with 18% tax -> 118 / 1.18 = ₹100.
What is 1 Basis Point?
One basis point is equal to 1/100th of 1%, or 0.01%. It is often used in finance to denote interest rate changes.
Why is 50% increase followed by 50% decrease not 0?
Because the base changes! 100 + 50% = 150. Then 150 - 50% = 75. You end up with less than you started.
How generally useful is this tool?
Extremely. Use it for calculating discounts, tipping at restaurants, tax calculations, exam score percentages, or salary hike percentages.
What is absolute change vs percentage change?
Absolute change is the simple difference (New - Old). Percentage change relates that difference to the starting value, giving context to the change.
Can a percentage result be greater than 100%?
Yes, if the new value is more than double the original value, the increase will be greater than 100%. (e.g., 200 to 500 is a 150% increase).