51.75 is what percent of 132.25 - 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 132.25 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 132.25, so we can write it down as 100%=132.25.
4. We know, that x% equals 51.75 of the output value, so we can write it down as x%=51.75.
5. Now we have two simple equations:
1) 100%=132.25
2) x%=51.75
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%=132.25/51.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 51.75 is what percent of 132.25

100%/x%=132.25/51.75
(100/x)*x=(132.25/51.75)*x       - we multiply both sides of the equation by x
100=2.5555555555556*x       - we divide both sides of the equation by (2.5555555555556) to get x
100/2.5555555555556=x
39.130434782609=x
x=39.130434782609

now we have:
51.75 is 39.130434782609% of 132.25