154.22 is what percent of 616.88 - 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 616.88 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 616.88, so we can write it down as 100%=616.88.
4. We know, that x% equals 154.22 of the output value, so we can write it down as x%=154.22.
5. Now we have two simple equations:
1) 100%=616.88
2) x%=154.22
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%=616.88/154.22
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 154.22 is what percent of 616.88

100%/x%=616.88/154.22
(100/x)*x=(616.88/154.22)*x       - we multiply both sides of the equation by x
100=4*x       - we divide both sides of the equation by (4) to get x
100/4=x
25=x
x=25

now we have:
154.22 is 25% of 616.88