1.13 is what percent of 8.7 - 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 8.7 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 8.7, so we can write it down as 100%=8.7.
4. We know, that x% equals 1.13 of the output value, so we can write it down as x%=1.13.
5. Now we have two simple equations:
1) 100%=8.7
2) x%=1.13
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%=8.7/1.13
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.13 is what percent of 8.7

100%/x%=8.7/1.13
(100/x)*x=(8.7/1.13)*x       - we multiply both sides of the equation by x
100=7.6991150442478*x       - we divide both sides of the equation by (7.6991150442478) to get x
100/7.6991150442478=x
12.988505747126=x
x=12.988505747126

now we have:
1.13 is 12.988505747126% of 8.7