64.21 is what percent of 658.49 - 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 658.49 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 658.49, so we can write it down as 100%=658.49.
4. We know, that x% equals 64.21 of the output value, so we can write it down as x%=64.21.
5. Now we have two simple equations:
1) 100%=658.49
2) x%=64.21
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%=658.49/64.21
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 64.21 is what percent of 658.49

100%/x%=658.49/64.21
(100/x)*x=(658.49/64.21)*x       - we multiply both sides of the equation by x
100=10.255256190625*x       - we divide both sides of the equation by (10.255256190625) to get x
100/10.255256190625=x
9.7510972072469=x
x=9.7510972072469

now we have:
64.21 is 9.7510972072469% of 658.49