25.5 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 25.5 of the output value, so we can write it down as x%=25.5.
5. Now we have two simple equations:
1) 100%=150.7
2) x%=25.5
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%=150.7/25.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 25.5 is what percent of 150.7

100%/x%=150.7/25.5
(100/x)*x=(150.7/25.5)*x       - we multiply both sides of the equation by x
100=5.9098039215686*x       - we divide both sides of the equation by (5.9098039215686) to get x
100/5.9098039215686=x
16.92103516921=x
x=16.92103516921

now we have:
25.5 is 16.92103516921% of 150.7