52.49 is what percent of 43.52 - 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 43.52 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 43.52, so we can write it down as 100%=43.52.
4. We know, that x% equals 52.49 of the output value, so we can write it down as x%=52.49.
5. Now we have two simple equations:
1) 100%=43.52
2) x%=52.49
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%=43.52/52.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 52.49 is what percent of 43.52

100%/x%=43.52/52.49
(100/x)*x=(43.52/52.49)*x       - we multiply both sides of the equation by x
100=0.82911030672509*x       - we divide both sides of the equation by (0.82911030672509) to get x
100/0.82911030672509=x
120.61121323529=x
x=120.61121323529

now we have:
52.49 is 120.61121323529% of 43.52