88 is what percent of 98.56 - 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 98.56 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 98.56, so we can write it down as 100%=98.56.
4. We know, that x% equals 88 of the output value, so we can write it down as x%=88.
5. Now we have two simple equations:
1) 100%=98.56
2) x%=88
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%=98.56/88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 88 is what percent of 98.56

100%/x%=98.56/88
(100/x)*x=(98.56/88)*x       - we multiply both sides of the equation by x
100=1.12*x       - we divide both sides of the equation by (1.12) to get x
100/1.12=x
89.285714285714=x
x=89.285714285714

now we have:
88 is 89.285714285714% of 98.56