52.5 is what percent of 49.2 - 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 49.2 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 49.2, so we can write it down as 100%=49.2.
4. We know, that x% equals 52.5 of the output value, so we can write it down as x%=52.5.
5. Now we have two simple equations:
1) 100%=49.2
2) x%=52.5
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%=49.2/52.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 52.5 is what percent of 49.2

100%/x%=49.2/52.5
(100/x)*x=(49.2/52.5)*x       - we multiply both sides of the equation by x
100=0.93714285714286*x       - we divide both sides of the equation by (0.93714285714286) to get x
100/0.93714285714286=x
106.70731707317=x
x=106.70731707317

now we have:
52.5 is 106.70731707317% of 49.2