46.6 is what percent of 66.6 - 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 66.6 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 66.6, so we can write it down as 100%=66.6.
4. We know, that x% equals 46.6 of the output value, so we can write it down as x%=46.6.
5. Now we have two simple equations:
1) 100%=66.6
2) x%=46.6
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%=66.6/46.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 46.6 is what percent of 66.6

100%/x%=66.6/46.6
(100/x)*x=(66.6/46.6)*x       - we multiply both sides of the equation by x
100=1.4291845493562*x       - we divide both sides of the equation by (1.4291845493562) to get x
100/1.4291845493562=x
69.96996996997=x
x=69.96996996997

now we have:
46.6 is 69.96996996997% of 66.6