64 is what percent of 133.3 - 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 133.3 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 133.3, so we can write it down as 100%=133.3.
4. We know, that x% equals 64 of the output value, so we can write it down as x%=64.
5. Now we have two simple equations:
1) 100%=133.3
2) x%=64
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%=133.3/64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 64 is what percent of 133.3

100%/x%=133.3/64
(100/x)*x=(133.3/64)*x       - we multiply both sides of the equation by x
100=2.0828125*x       - we divide both sides of the equation by (2.0828125) to get x
100/2.0828125=x
48.01200300075=x
x=48.01200300075

now we have:
64 is 48.01200300075% of 133.3