88.48 is what percent of 100.6 - 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 100.6 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 100.6, so we can write it down as 100%=100.6.
4. We know, that x% equals 88.48 of the output value, so we can write it down as x%=88.48.
5. Now we have two simple equations:
1) 100%=100.6
2) x%=88.48
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%=100.6/88.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 88.48 is what percent of 100.6

100%/x%=100.6/88.48
(100/x)*x=(100.6/88.48)*x       - we multiply both sides of the equation by x
100=1.1369801084991*x       - we divide both sides of the equation by (1.1369801084991) to get x
100/1.1369801084991=x
87.952286282306=x
x=87.952286282306

now we have:
88.48 is 87.952286282306% of 100.6