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Increase Amount by Percentage

If you want to increase your website's revenue by $200,000, you're in luck--but also in bad luck, because it's not as easy as you think it is. You might want to increase your website's revenue by a fixed amount, like $4,000, but if you still want to increase it by 3% the way to do that is to increase revenue by $360 (or 3600%).

The concept of percent increase is basically the amount of increase from the original number to the final number in terms of 100 parts of the original. An increase of 5 percent would indicate that, if you split the original value into 100 parts, that value has increased by an additional 5 parts. So if the original value increased by 14 percent, the value would increase by 14 for every 100 units, 28 by every 200 units and so on. To make this even more clear, we will get into an example using the percent increase formula in the next section.Percentage increase is useful when you want to analyse how a value has changed with time. Although percentage increase is very similar to absolute increase, the former is more useful when comparing multiple data sets. For example, a change from 1 to 51 and from 50 to 100 both have an absolute change of 50, but the percentage increase for the first is 5000%, while for the second it is 100%, so the first change grew a lot more. This is why percentage increase is the most common way of measuring growth.Although we have just covered how to calculate percent increase and percent decrease, sometimes we just are interested in the change in percent, regardless if it is an increase or a decrease. If that is the case, you can use the percent change calculator or the percentage difference calculator. A situation in which this may be useful would be an opinion poll to see if the percentage of people who favor a particular political candidate differs from 50 percent. The first step in increasing a number by a percentage is to convert the percent to a decimal. The easiest way to do this is move the decimal point two points to the left. For example, 30 percent as a decimal is 0.3, and 50 percent as a decimal is 0.5. If you have a calculator with a percent key (%), enter your number and press % to convert the percent to a decimal (you may have to press the = key on some models). Another way to work out the decimal is to remember that 100 percent is 1, because it is the whole of something. This means 50 percent is one-half (0.5), 25 percent is one-quarter (0.25), 75 percent is three-quarters (0.75) and so on.

In some math problems, you might know the percent increase or decrease and the new amount, and need to work out the original amount. For example, you know a bed with a $280 sale price has been reduced by 30 percent. To work out the original price of the bed, you have to establish what percentage of the original price the sale price is. The original price is 100 percent and 30 percent has been taken off, so the sale price is 70 percent of the original price. Divide the sale price (280) by the numerical value of 70 percent, or 0.7, to work out the original price. The answer is 400, so you know the original price of the bed was $400. The percentage increase calculator above computes an increase or decrease of a specific percentage of the input number. It basically involves converting a percent into its decimal equivalent, and either subtracting (decrease) or adding (increase) the decimal equivalent from and to 1, respectively. Multiplying the original number by this value will result in either an increase or decrease of the number by the given percent. Refer to the example below for clarification.Before learning more about the percentage increase formula, let us understand what percentage increase means. Percentage increase is the difference between the final value and the initial value, expressed in the form of a percentage. To calculate the percentage we need to have the initial value and the increased (new) value. Following this concept, the percentage increase formula is derived and expressed as: Percentage Increase = [(Final Value - Initial Value)/Initial Value] × 100. It should be noted that since the percentage has to be a positive quantity, we take the absolute value of the initial value. The percentage increase formula helps in comparing how much a value has increased over time. This formula has many real-life applications like comparing the profit of a business after every year, or the percentage increase in the salary of a person, or the percentage increase in the production of goods, and many more. It gives us an idea about how much a quantity has increased compared to the initial value because it allows us to determine the relative scale of the increase. It shows that the percent increase between two given values is the difference between the final value and the initial value, which is expressed as a percentage of the initial value. Let us understand this with an example. Consider the profit earned by two businessmen for 2 years. (Source: www.cuemath.com)