6.53 is what percent of 17.17 - 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 17.17 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 17.17, so we can write it down as 100%=17.17.
4. We know, that x% equals 6.53 of the output value, so we can write it down as x%=6.53.
5. Now we have two simple equations:
1) 100%=17.17
2) x%=6.53
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%=17.17/6.53
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.53 is what percent of 17.17

100%/x%=17.17/6.53
(100/x)*x=(17.17/6.53)*x       - we multiply both sides of the equation by x
100=2.6294027565084*x       - we divide both sides of the equation by (2.6294027565084) to get x
100/2.6294027565084=x
38.031450203844=x
x=38.031450203844

now we have:
6.53 is 38.031450203844% of 17.17