66.6 is what percent of 509.1 - 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 509.1 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 509.1, so we can write it down as 100%=509.1.
4. We know, that x% equals 66.6 of the output value, so we can write it down as x%=66.6.
5. Now we have two simple equations:
1) 100%=509.1
2) x%=66.6
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%=509.1/66.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 66.6 is what percent of 509.1

100%/x%=509.1/66.6
(100/x)*x=(509.1/66.6)*x       - we multiply both sides of the equation by x
100=7.6441441441441*x       - we divide both sides of the equation by (7.6441441441441) to get x
100/7.6441441441441=x
13.081909251621=x
x=13.081909251621

now we have:
66.6 is 13.081909251621% of 509.1