25.56 is what percent of 315.6 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 315.6 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 315.6, so we can write it down as 100%=315.6.
4. We know, that x% equals 25.56 of the output value, so we can write it down as x%=25.56.
5. Now we have two simple equations:
1) 100%=315.6
2) x%=25.56
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=315.6/25.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 25.56 is what percent of 315.6

100%/x%=315.6/25.56
(100/x)*x=(315.6/25.56)*x       - we multiply both sides of the equation by x
100=12.347417840376*x       - we divide both sides of the equation by (12.347417840376) to get x
100/12.347417840376=x
8.0988593155894=x
x=8.0988593155894

now we have:
25.56 is 8.0988593155894% of 315.6