What is a percentage?
A percentage expresses a quantity as parts per hundred. The symbol % simply means “divided by 100”, so 45% is the same as 45/100 or 0.45.
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For example 18 for 18%.
The number you are taking the percentage of.
1,800
18% of 10,000 is 1,800.
18%
Percentage
10,000
Value
1,800
Result
₹1,800.00 if the value is in rupees
Every percentage question comes back to one idea — a share out of one hundred. Finding a share uses value × rate ÷ 100, while measuring a change uses (new − original) ÷ original × 100. Discounts are the same maths applied to a price, and percentage difference swaps the original value for the average of the two numbers being compared.
A percentage expresses a quantity as parts per hundred. The symbol % simply means “divided by 100”, so 45% is the same as 45/100 or 0.45.
Multiply the value by the percentage and divide by 100: value × rate ÷ 100. To go the other way, divide the part by the whole and multiply by 100.
Percentage increase = (new − original) ÷ original × 100. A salary moving from ₹40,000 to ₹46,000 is a 15% increase.
Percentage decrease = (original − new) ÷ original × 100. A price falling from ₹2,500 to ₹2,000 is a 20% decrease.
Discount = price × discount rate ÷ 100, and final price = price − discount. Knowing both numbers makes it easy to compare offers quickly.
Percentage difference = |A − B| ÷ ((A + B) ÷ 2) × 100. Unlike percentage change it has no starting value, so comparing 100 and 120 gives 18.18% either way round.