262.25 is what percent of 352 - 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 352 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 352, so we can write it down as 100%=352.
4. We know, that x% equals 262.25 of the output value, so we can write it down as x%=262.25.
5. Now we have two simple equations:
1) 100%=352
2) x%=262.25
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%=352/262.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 262.25 is what percent of 352

100%/x%=352/262.25
(100/x)*x=(352/262.25)*x       - we multiply both sides of the equation by x
100=1.3422306959009*x       - we divide both sides of the equation by (1.3422306959009) to get x
100/1.3422306959009=x
74.502840909091=x
x=74.502840909091

now we have:
262.25 is 74.502840909091% of 352