66.11 is what percent of 669.97 - 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 669.97 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 669.97, so we can write it down as 100%=669.97.
4. We know, that x% equals 66.11 of the output value, so we can write it down as x%=66.11.
5. Now we have two simple equations:
1) 100%=669.97
2) x%=66.11
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%=669.97/66.11
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 66.11 is what percent of 669.97

100%/x%=669.97/66.11
(100/x)*x=(669.97/66.11)*x       - we multiply both sides of the equation by x
100=10.13417032219*x       - we divide both sides of the equation by (10.13417032219) to get x
100/10.13417032219=x
9.8676060122095=x
x=9.8676060122095

now we have:
66.11 is 9.8676060122095% of 669.97