Q&A for How to Calculate Percentage Increase

Make sure you're not using the wrong denominator to calculate the percentage increase. The original price, not the difference, should be the denominator when you're dividing. The difference should be the numerator.

Convert the percentage to a decimal. Multiply the original number by that decimal. Add that product to the original number. The sum is the final number you're seeking.

Subtract the first year's production from the second year's production. Take that difference, and divide it by the first year's production. That's the percentage increase in production.

Multiply 80 x .05 to get 5% of 80. The answer is $4.00. If you are increasing 80 by 5%, then add the answer to 80 to get the final total which is $84.00.

Subtract the smaller number from the larger number. Then divide that difference by the larger number. That's the percentage of decrease.

This completely depends on what the total is. 250 could be 100%. If it's out of 500, then it's half, so 50%. If you drank 250ml of water out of a 500ml glass, you drank half the water.

R216 x 1.07 = R231.12. You take the original amount and multiply by 1.07; this is the same as adding the increase to the original amount.

It's a 100% decrease from one month to the next.

If you're asking about "simple" interest, you would convert 4% to a decimal, multiply it by 22, and multiply that by 200,000. That would give you how much the money grew (not what it grew to). If you're dealing with "compound" interest, the process is more complicated and involves an exponential equation.

Convert the percentage to a decimal, then multiply that decimal by the original number.

You don't.

If you're dealing with percentage increases, zero will never grow. You have to start with something larger than zero. You could add a number to zero, then apply a percentage of growth.

If the discount is 34%, that means the new rate is 66% of the original rate (100 - 34 = 66). Divide the new rate by 66% (0.66) to get the original rate. Say, for example, the new figure is 12. 12 ÷ 0.66 = 18.2.

Divide the numerator by the denominator. Multiply the quotient by 100 and insert a percentage sign. For example, take the fraction ¾. 3 ÷ 4 = 0.75. (0.75)(100) = 75. So ¾ = 75%.

Let's assume you know the new price. In the case of a 5% increase, divide the new price by 1.05. That gives you the original price. If it's a 12% increase, divide by 1.12.

Increasing a number by 5% is the same as multiplying that number by 1.05. Let x be the number you're looking for. Then (1.05)(x) = 182. Divide both sides of that equation by 1.05.

To find the annual percentage yield on an investment (assuming a gain), subtract the value of the investment at the beginning of the year from its value at the end of the year, then divide that difference by the value at the beginning of the year. That will give you a decimal number. Multiply it by 100 to get a percentage. For example, if the investment's value rose from 2,000 to 3,000 during the year, subtracting the starting value from the final value gives you 1,000. Divide that by 2,000, giving you 0.5. Multiply by 100 to get a 50% gain for the year (because 1,000 is 50% of 2,000).

Nominally it's a 40% increase over ten years, but the real (compounded) increase is considerably more than that and is calculated using an exponential formula. See wikiHow articles on compound interest.

x = original amount x times 400% = $600 Divide both sides by 400% (or 4) x = $150

First subtract the new number from the original number. Divide that difference by the original number, multiply by 100, then insert a minus sign in front of that number and a percentage sign after it. For example, say the number decreases from 50 to 40. 50 - 40 = 10. 10 ÷ 50 = 0.2. (0.2)(100) = 20. The percentage of decrease is -20%.

If you need 50 liters per second but "lose" 20% of the total being pumped, that means 50 liters would be 80% of the total being pumped. 50 ÷ 80% = 50 ÷ 0.8 = 62.5 liters per second needed to be pumped.

Divide 72 by 5 = 14.4 years. That's using the "rule of 72:" divide 72 by the annual rate of interest to get the number of years it will take for an investment to double in value.

Find the difference between the two sales figures by subtracting the smaller figure from the larger figure. Then divide that difference by last week's figure. That gives the percentage of change between last week's figure and the current week's figure (positive percentage if sales increased, negative percentage if sales decreased).

Multiply the cost by 1.33. That would give you the price you'd need to charge to make a 33% profit.

The change from 10 taka to 12 taka is an increase of 2/10 or 20%. (The number of square feet is not considered.)

You would subtract $3,800 from $750,000 which is $746,200, then divide $746,200 by $3,800 which is 196.3684. Round that number to the nearest 100th, which is 196.37 and multiply it by 100 (or conversely move the decimal two places), and your percentage is 19637% increase.

The short answer is to use a compound-interest calculator. The longer answer is this: the amount of compound interest earned is equal to the original principal, multiplied by the quantity (1 + r/n) raised to the power of (nt), where r is the interest rate expressed as a decimal, n is the number of times interest is compounded per year, and t is the length of time (in years) that the rate of interest is applied.

The increase is 25%, because the number has increased by 2.5, and 2.5 is a quarter of 10. A quarter = 25%.

The increase can be calculated as 200 x 1.2 = 240 (or 200 x 20 / 100 = 40 to get how much it increased, then add to the original 200 to get the total 240). Then, the decrease can be calculated as 240 x 0.8 = 192 (or 240 x 20 / 100 = 48 to find how much it decreased, then subtract that from 240 to get 192).

Add the two percentages together and divide by 2.