66.13 is what percent of 663.698 - 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 663.698 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 663.698, so we can write it down as 100%=663.698.
4. We know, that x% equals 66.13 of the output value, so we can write it down as x%=66.13.
5. Now we have two simple equations:
1) 100%=663.698
2) x%=66.13
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%=663.698/66.13
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 66.13 is what percent of 663.698

100%/x%=663.698/66.13
(100/x)*x=(663.698/66.13)*x       - we multiply both sides of the equation by x
100=10.036261908362*x       - we divide both sides of the equation by (10.036261908362) to get x
100/10.036261908362=x
9.963869109143=x
x=9.963869109143

now we have:
66.13 is 9.963869109143% of 663.698