83.24 is what percent of 213.53 - 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 213.53 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 213.53, so we can write it down as 100%=213.53.
4. We know, that x% equals 83.24 of the output value, so we can write it down as x%=83.24.
5. Now we have two simple equations:
1) 100%=213.53
2) x%=83.24
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%=213.53/83.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 83.24 is what percent of 213.53

100%/x%=213.53/83.24
(100/x)*x=(213.53/83.24)*x       - we multiply both sides of the equation by x
100=2.5652330610284*x       - we divide both sides of the equation by (2.5652330610284) to get x
100/2.5652330610284=x
38.982812719524=x
x=38.982812719524

now we have:
83.24 is 38.982812719524% of 213.53