89 is what percent of 99.75 - 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 99.75 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 99.75, so we can write it down as 100%=99.75.
4. We know, that x% equals 89 of the output value, so we can write it down as x%=89.
5. Now we have two simple equations:
1) 100%=99.75
2) x%=89
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%=99.75/89
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 89 is what percent of 99.75

100%/x%=99.75/89
(100/x)*x=(99.75/89)*x       - we multiply both sides of the equation by x
100=1.1207865168539*x       - we divide both sides of the equation by (1.1207865168539) to get x
100/1.1207865168539=x
89.22305764411=x
x=89.22305764411

now we have:
89 is 89.22305764411% of 99.75