113.63 is what percent of 889.86 - 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 889.86 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 889.86, so we can write it down as 100%=889.86.
4. We know, that x% equals 113.63 of the output value, so we can write it down as x%=113.63.
5. Now we have two simple equations:
1) 100%=889.86
2) x%=113.63
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%=889.86/113.63
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 113.63 is what percent of 889.86

100%/x%=889.86/113.63
(100/x)*x=(889.86/113.63)*x       - we multiply both sides of the equation by x
100=7.8312065475667*x       - we divide both sides of the equation by (7.8312065475667) to get x
100/7.8312065475667=x
12.769424403839=x
x=12.769424403839

now we have:
113.63 is 12.769424403839% of 889.86