To work out the percentage increase between two values, you can use the following formula:

Percentage Increase=(Final Value−Initial ValueInitial Value)×100\text{Percentage Increase}=\left(\frac{\text{Final Value}-\text{Initial Value}}{\text{Initial Value}}\right)\times 100Percentage Increase=(Initial ValueFinal Value−Initial Value​)×100

Steps to calculate percentage increase:

1. Subtract the initial value from the final value to find the increase.
2. Divide the increase by the initial value to find the proportion of increase relative to the original.
3. Multiply the result by 100 to convert it into a percentage.

Example:

If an investment grows from $1,250 to $1,445:

• Increase = 1,445 - 1,250 = 195
• Divide by initial value: 195 / 1,250 = 0.156
• Multiply by 100: 0.156 × 100 = 15.6%

So, the percentage increase is 15.6%

Additional notes:

• If you want to increase a number by a certain percentage , multiply the original number by the decimal form of the percentage and then add it to the original number. For example, to increase 200 by 10%, calculate 200 × 0.10 = 20, then add 20 to 200 to get 220

• This formula works for any context where you want to measure how much a quantity has increased relative to its original amount, such as prices, salaries, or quantities

This method is straightforward and widely used in mathematics, finance, and statistics.