52 is what percent of 31.9 - 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 31.9 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 31.9, so we can write it down as 100%=31.9.
4. We know, that x% equals 52 of the output value, so we can write it down as x%=52.
5. Now we have two simple equations:
1) 100%=31.9
2) x%=52
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%=31.9/52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 52 is what percent of 31.9

100%/x%=31.9/52
(100/x)*x=(31.9/52)*x       - we multiply both sides of the equation by x
100=0.61346153846154*x       - we divide both sides of the equation by (0.61346153846154) to get x
100/0.61346153846154=x
163.00940438871=x
x=163.00940438871

now we have:
52 is 163.00940438871% of 31.9