87.79 is what percent of 113.91 - 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 113.91 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 113.91, so we can write it down as 100%=113.91.
4. We know, that x% equals 87.79 of the output value, so we can write it down as x%=87.79.
5. Now we have two simple equations:
1) 100%=113.91
2) x%=87.79
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%=113.91/87.79
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 87.79 is what percent of 113.91

100%/x%=113.91/87.79
(100/x)*x=(113.91/87.79)*x       - we multiply both sides of the equation by x
100=1.297528192277*x       - we divide both sides of the equation by (1.297528192277) to get x
100/1.297528192277=x
77.069616363796=x
x=77.069616363796

now we have:
87.79 is 77.069616363796% of 113.91