30.07 is what percent of 150.37 - 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 150.37 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 150.37, so we can write it down as 100%=150.37.
4. We know, that x% equals 30.07 of the output value, so we can write it down as x%=30.07.
5. Now we have two simple equations:
1) 100%=150.37
2) x%=30.07
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%=150.37/30.07
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 30.07 is what percent of 150.37

100%/x%=150.37/30.07
(100/x)*x=(150.37/30.07)*x       - we multiply both sides of the equation by x
100=5.0006651147323*x       - we divide both sides of the equation by (5.0006651147323) to get x
100/5.0006651147323=x
19.997339894926=x
x=19.997339894926

now we have:
30.07 is 19.997339894926% of 150.37