7.64 is what percent of 13.17 - 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 13.17 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 13.17, so we can write it down as 100%=13.17.
4. We know, that x% equals 7.64 of the output value, so we can write it down as x%=7.64.
5. Now we have two simple equations:
1) 100%=13.17
2) x%=7.64
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%=13.17/7.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.64 is what percent of 13.17

100%/x%=13.17/7.64
(100/x)*x=(13.17/7.64)*x       - we multiply both sides of the equation by x
100=1.7238219895288*x       - we divide both sides of the equation by (1.7238219895288) to get x
100/1.7238219895288=x
58.010630220197=x
x=58.010630220197

now we have:
7.64 is 58.010630220197% of 13.17