89.4 is what percent of 103.13 - 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 103.13 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 103.13, so we can write it down as 100%=103.13.
4. We know, that x% equals 89.4 of the output value, so we can write it down as x%=89.4.
5. Now we have two simple equations:
1) 100%=103.13
2) x%=89.4
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%=103.13/89.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 89.4 is what percent of 103.13

100%/x%=103.13/89.4
(100/x)*x=(103.13/89.4)*x       - we multiply both sides of the equation by x
100=1.1535794183445*x       - we divide both sides of the equation by (1.1535794183445) to get x
100/1.1535794183445=x
86.686706099098=x
x=86.686706099098

now we have:
89.4 is 86.686706099098% of 103.13