6.52 is what percent of 16.83 - 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 16.83 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 16.83, so we can write it down as 100%=16.83.
4. We know, that x% equals 6.52 of the output value, so we can write it down as x%=6.52.
5. Now we have two simple equations:
1) 100%=16.83
2) x%=6.52
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%=16.83/6.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.52 is what percent of 16.83

100%/x%=16.83/6.52
(100/x)*x=(16.83/6.52)*x       - we multiply both sides of the equation by x
100=2.5812883435583*x       - we divide both sides of the equation by (2.5812883435583) to get x
100/2.5812883435583=x
38.740344622698=x
x=38.740344622698

now we have:
6.52 is 38.740344622698% of 16.83