255.2 is what percent of 748.7 - 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 748.7 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 748.7, so we can write it down as 100%=748.7.
4. We know, that x% equals 255.2 of the output value, so we can write it down as x%=255.2.
5. Now we have two simple equations:
1) 100%=748.7
2) x%=255.2
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%=748.7/255.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 255.2 is what percent of 748.7

100%/x%=748.7/255.2
(100/x)*x=(748.7/255.2)*x       - we multiply both sides of the equation by x
100=2.9337774294671*x       - we divide both sides of the equation by (2.9337774294671) to get x
100/2.9337774294671=x
34.08574863096=x
x=34.08574863096

now we have:
255.2 is 34.08574863096% of 748.7