1065.24 is what percent of 1220 - 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 1220 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 1220, so we can write it down as 100%=1220.
4. We know, that x% equals 1065.24 of the output value, so we can write it down as x%=1065.24.
5. Now we have two simple equations:
1) 100%=1220
2) x%=1065.24
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%=1220/1065.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1065.24 is what percent of 1220

100%/x%=1220/1065.24
(100/x)*x=(1220/1065.24)*x       - we multiply both sides of the equation by x
100=1.1452818144268*x       - we divide both sides of the equation by (1.1452818144268) to get x
100/1.1452818144268=x
87.314754098361=x
x=87.314754098361

now we have:
1065.24 is 87.314754098361% of 1220