66.68 is what percent of 555.63 - 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 555.63 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 555.63, so we can write it down as 100%=555.63.
4. We know, that x% equals 66.68 of the output value, so we can write it down as x%=66.68.
5. Now we have two simple equations:
1) 100%=555.63
2) x%=66.68
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%=555.63/66.68
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 66.68 is what percent of 555.63

100%/x%=555.63/66.68
(100/x)*x=(555.63/66.68)*x       - we multiply both sides of the equation by x
100=8.3327834433113*x       - we divide both sides of the equation by (8.3327834433113) to get x
100/8.3327834433113=x
12.000791893886=x
x=12.000791893886

now we have:
66.68 is 12.000791893886% of 555.63