53.25 is what percent of 120.7 - 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 120.7 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 120.7, so we can write it down as 100%=120.7.
4. We know, that x% equals 53.25 of the output value, so we can write it down as x%=53.25.
5. Now we have two simple equations:
1) 100%=120.7
2) x%=53.25
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%=120.7/53.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 53.25 is what percent of 120.7

100%/x%=120.7/53.25
(100/x)*x=(120.7/53.25)*x       - we multiply both sides of the equation by x
100=2.2666666666667*x       - we divide both sides of the equation by (2.2666666666667) to get x
100/2.2666666666667=x
44.117647058824=x
x=44.117647058824

now we have:
53.25 is 44.117647058824% of 120.7