# How to calculate how much percent increased or decreased?

The value of the percentage of measurement, indicating how much the one or another has changed, is called a percentage increase or percentage of the number.

In order to calculate this indicator, there are special formulas.

1. Percentage increase in number It is calculated as follows: z = ((x – y) / y) * 100. Where z = is the very percentage increase that we need to get. X is the final number, and y is the initial indicator.

For example: the company’s profit in 2016 was calculated at 560 thousand, and in 2017 it changed and became 864 thousand.

((864000-560000)/560­000*100 = 54.2%

2. Percentage reduction It is calculated by the reverse formula: z = (y – x) / y) * 100.

For example, the profit of the company in 2016 was calculated at 440 thousand, and in 2017 it changed and became 360 thousand.

(in 2015 – 42, and in 2016 – 35:

The answer of the defector is short and accurate, but I would like to add that it is implicitly implied here that the profit has grown, that is, y>X, Y-X>0 . With a positive difference, everything is in the way, heyday, progress, ala ulya, drive geese.

But there is sometimes a crisis. Then the profit changed towards the decrease and the answer will be the assertion that

The company’s profit decreased in 2016 compared to 2015 by

(x-y)/x*100 %.

The main thing that should be understood – when calculating interest, you can divide the difference only into the first value previous in time (in this case, this value X for 2015 is an earlier year). The division into a value for the later year will lead to an answer to a completely different question – how many percent in the last 2015 there was a profit compared to the next year of 2016?

The easiest way is to count with the help of a proportion. For example, we take the first number for the standard. Accordingly, it is 100 %. In the second case, we have a certain number that we consider by the proportion.

For example:

The company’s profit in 2015 was 500.000 dollars. In 2016, the profit was 610.000 dollars. It is necessary to calculate how much the profit has increased.

The formula for calculating the increase (or decrease) of some value as a percentage is reduced in finding the difference between the new and old values, the assignment (division) of this difference to the original value and multiplication by 100%. The sign before the result will show whether the original value increased or decreased.

In mathematical form it will look like this:

[(U -x)/x]*100%, where x is the original value, y is a new meaning.

For example.

1. x = 50, y = 65. Then the change will be equal to: [(65-50)/50]*100%= (1­5/50)*100%= 0.3*100%= 3­0% – a new number by 30% more than the old, t.e. The initial number increased by 30%.
2. x = 50, y = 45. Then: [(45-50)/50]*100%= (-­5/50)*100%=-0.1*100%=­-10% – a new number by 10% less than the old, t.e. The initial number decreased by 10%.

In order to determine whether to understand how much the value increased or decreased, the number in the percentage ratio must be used.

Consider the example.

The company’s profit in 2016 amounted to 450,000, and in 2017 – 600,000.

((600000-450000) / 450­000)* 100 = 33.3%

If you need to calculate the percentage reduction, then we use this formula:

For example, profit in 2016 amounted to 540000, and in 2017 amounted to 320,000.

Using the formula, calculate.

((540000-320000) / 540­000) * 100 = 40.7%

Find out how many percent the number increased, it is necessary to subtract what happened, that is, from a larger number less. Now the result is divided into what was before, that is, again into a smaller initial number. The last action is the result of the previous action to multiply by one hundred (percent) we get a percentage of growth)

Well, get the percentage of reduction, with a minus sign, it is necessary to subtract more from less, just as the result is divided into initial smaller meaning and multiply again one hundred percent.

To find an increase or decrease in profit as a percentage, you need to find the difference in profit in rubles, in our example: (WHO).

The resulting difference is divided into profit in the original 2015 (x) and multiply by 100 percent.

(WHO)/x*100%.