32 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 32 of the output value, so we can write it down as x%=32.
5. Now we have two simple equations:
1) 100%=150.7
2) x%=32
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%=150.7/32
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 32 is what percent of 150.7

100%/x%=150.7/32
(100/x)*x=(150.7/32)*x       - we multiply both sides of the equation by x
100=4.709375*x       - we divide both sides of the equation by (4.709375) to get x
100/4.709375=x
21.234240212342=x
x=21.234240212342

now we have:
32 is 21.234240212342% of 150.7