46.66 is what percent of 96.64 - 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 96.64 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 96.64, so we can write it down as 100%=96.64.
4. We know, that x% equals 46.66 of the output value, so we can write it down as x%=46.66.
5. Now we have two simple equations:
1) 100%=96.64
2) x%=46.66
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%=96.64/46.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 46.66 is what percent of 96.64

100%/x%=96.64/46.66
(100/x)*x=(96.64/46.66)*x       - we multiply both sides of the equation by x
100=2.0711530218603*x       - we divide both sides of the equation by (2.0711530218603) to get x
100/2.0711530218603=x
48.282284768212=x
x=48.282284768212

now we have:
46.66 is 48.282284768212% of 96.64