7.25 is what percent of 157.5 - 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 157.5 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 157.5, so we can write it down as 100%=157.5.
4. We know, that x% equals 7.25 of the output value, so we can write it down as x%=7.25.
5. Now we have two simple equations:
1) 100%=157.5
2) x%=7.25
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%=157.5/7.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.25 is what percent of 157.5

100%/x%=157.5/7.25
(100/x)*x=(157.5/7.25)*x       - we multiply both sides of the equation by x
100=21.724137931034*x       - we divide both sides of the equation by (21.724137931034) to get x
100/21.724137931034=x
4.6031746031746=x
x=4.6031746031746

now we have:
7.25 is 4.6031746031746% of 157.5