150.32 is what percent of 339.79 - 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 339.79 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 339.79, so we can write it down as 100%=339.79.
4. We know, that x% equals 150.32 of the output value, so we can write it down as x%=150.32.
5. Now we have two simple equations:
1) 100%=339.79
2) x%=150.32
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%=339.79/150.32
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 150.32 is what percent of 339.79

100%/x%=339.79/150.32
(100/x)*x=(339.79/150.32)*x       - we multiply both sides of the equation by x
100=2.2604443853113*x       - we divide both sides of the equation by (2.2604443853113) to get x
100/2.2604443853113=x
44.239088848995=x
x=44.239088848995

now we have:
150.32 is 44.239088848995% of 339.79