31.54 is what percent of 150 - 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 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, so we can write it down as 100%=150.
4. We know, that x% equals 31.54 of the output value, so we can write it down as x%=31.54.
5. Now we have two simple equations:
1) 100%=150
2) x%=31.54
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%=150/31.54
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 31.54 is what percent of 150

100%/x%=150/31.54
(100/x)*x=(150/31.54)*x       - we multiply both sides of the equation by x
100=4.7558655675333*x       - we divide both sides of the equation by (4.7558655675333) to get x
100/4.7558655675333=x
21.026666666667=x
x=21.026666666667

now we have:
31.54 is 21.026666666667% of 150