1652.46 is what percent of 5308.13 - 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 5308.13 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 5308.13, so we can write it down as 100%=5308.13.
4. We know, that x% equals 1652.46 of the output value, so we can write it down as x%=1652.46.
5. Now we have two simple equations:
1) 100%=5308.13
2) x%=1652.46
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%=5308.13/1652.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1652.46 is what percent of 5308.13

100%/x%=5308.13/1652.46
(100/x)*x=(5308.13/1652.46)*x       - we multiply both sides of the equation by x
100=3.2122592982584*x       - we divide both sides of the equation by (3.2122592982584) to get x
100/3.2122592982584=x
31.130737189933=x
x=31.130737189933

now we have:
1652.46 is 31.130737189933% of 5308.13