88.78 is what percent of 221.4 - 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 221.4 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 221.4, so we can write it down as 100%=221.4.
4. We know, that x% equals 88.78 of the output value, so we can write it down as x%=88.78.
5. Now we have two simple equations:
1) 100%=221.4
2) x%=88.78
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%=221.4/88.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 88.78 is what percent of 221.4

100%/x%=221.4/88.78
(100/x)*x=(221.4/88.78)*x       - we multiply both sides of the equation by x
100=2.493804911016*x       - we divide both sides of the equation by (2.493804911016) to get x
100/2.493804911016=x
40.099367660343=x
x=40.099367660343

now we have:
88.78 is 40.099367660343% of 221.4