88.48 is what percent of 220.6 - 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 220.6 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 220.6, so we can write it down as 100%=220.6.
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%=220.6
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%=220.6/88.48
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 220.6

100%/x%=220.6/88.48
(100/x)*x=(220.6/88.48)*x       - we multiply both sides of the equation by x
100=2.4932188065099*x       - we divide both sides of the equation by (2.4932188065099) to get x
100/2.4932188065099=x
40.108794197643=x
x=40.108794197643

now we have:
88.48 is 40.108794197643% of 220.6