22.5 is what percent of 151 - 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 151 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 151, so we can write it down as 100%=151.
4. We know, that x% equals 22.5 of the output value, so we can write it down as x%=22.5.
5. Now we have two simple equations:
1) 100%=151
2) x%=22.5
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%=151/22.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 22.5 is what percent of 151

100%/x%=151/22.5
(100/x)*x=(151/22.5)*x       - we multiply both sides of the equation by x
100=6.7111111111111*x       - we divide both sides of the equation by (6.7111111111111) to get x
100/6.7111111111111=x
14.900662251656=x
x=14.900662251656

now we have:
22.5 is 14.900662251656% of 151