6.58 is what percent of 32.24 - 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 32.24 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 32.24, so we can write it down as 100%=32.24.
4. We know, that x% equals 6.58 of the output value, so we can write it down as x%=6.58.
5. Now we have two simple equations:
1) 100%=32.24
2) x%=6.58
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%=32.24/6.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.58 is what percent of 32.24

100%/x%=32.24/6.58
(100/x)*x=(32.24/6.58)*x       - we multiply both sides of the equation by x
100=4.8996960486322*x       - we divide both sides of the equation by (4.8996960486322) to get x
100/4.8996960486322=x
20.409429280397=x
x=20.409429280397

now we have:
6.58 is 20.409429280397% of 32.24