89.49 is what percent of 117.42 - 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 117.42 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 117.42, so we can write it down as 100%=117.42.
4. We know, that x% equals 89.49 of the output value, so we can write it down as x%=89.49.
5. Now we have two simple equations:
1) 100%=117.42
2) x%=89.49
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%=117.42/89.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 89.49 is what percent of 117.42

100%/x%=117.42/89.49
(100/x)*x=(117.42/89.49)*x       - we multiply both sides of the equation by x
100=1.312101910828*x       - we divide both sides of the equation by (1.312101910828) to get x
100/1.312101910828=x
76.21359223301=x
x=76.21359223301

now we have:
89.49 is 76.21359223301% of 117.42