64.3 is what percent of 150.7 - 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 150.7 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 150.7, so we can write it down as 100%=150.7.
4. We know, that x% equals 64.3 of the output value, so we can write it down as x%=64.3.
5. Now we have two simple equations:
1) 100%=150.7
2) x%=64.3
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%=150.7/64.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 64.3 is what percent of 150.7

100%/x%=150.7/64.3
(100/x)*x=(150.7/64.3)*x       - we multiply both sides of the equation by x
100=2.343701399689*x       - we divide both sides of the equation by (2.343701399689) to get x
100/2.343701399689=x
42.667551426676=x
x=42.667551426676

now we have:
64.3 is 42.667551426676% of 150.7