88.99 is what percent of 97.49 - 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 97.49 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 97.49, so we can write it down as 100%=97.49.
4. We know, that x% equals 88.99 of the output value, so we can write it down as x%=88.99.
5. Now we have two simple equations:
1) 100%=97.49
2) x%=88.99
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%=97.49/88.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 88.99 is what percent of 97.49

100%/x%=97.49/88.99
(100/x)*x=(97.49/88.99)*x       - we multiply both sides of the equation by x
100=1.0955163501517*x       - we divide both sides of the equation by (1.0955163501517) to get x
100/1.0955163501517=x
91.281157041748=x
x=91.281157041748

now we have:
88.99 is 91.281157041748% of 97.49