266.15 is what percent of 352.5 - 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 352.5 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 352.5, so we can write it down as 100%=352.5.
4. We know, that x% equals 266.15 of the output value, so we can write it down as x%=266.15.
5. Now we have two simple equations:
1) 100%=352.5
2) x%=266.15
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%=352.5/266.15
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 266.15 is what percent of 352.5

100%/x%=352.5/266.15
(100/x)*x=(352.5/266.15)*x       - we multiply both sides of the equation by x
100=1.3244411046402*x       - we divide both sides of the equation by (1.3244411046402) to get x
100/1.3244411046402=x
75.503546099291=x
x=75.503546099291

now we have:
266.15 is 75.503546099291% of 352.5