32 is what percent of 5239 - 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 5239 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 5239, so we can write it down as 100%=5239.
4. We know, that x% equals 32 of the output value, so we can write it down as x%=32.
5. Now we have two simple equations:
1) 100%=5239
2) x%=32
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%=5239/32
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 32 is what percent of 5239

100%/x%=5239/32
(100/x)*x=(5239/32)*x       - we multiply both sides of the equation by x
100=163.71875*x       - we divide both sides of the equation by (163.71875) to get x
100/163.71875=x
0.61080358847108=x
x=0.61080358847108

now we have:
32 is 0.61080358847108% of 5239