24.25 is what percent of 154.29 - 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 154.29 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 154.29, so we can write it down as 100%=154.29.
4. We know, that x% equals 24.25 of the output value, so we can write it down as x%=24.25.
5. Now we have two simple equations:
1) 100%=154.29
2) x%=24.25
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%=154.29/24.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 24.25 is what percent of 154.29

100%/x%=154.29/24.25
(100/x)*x=(154.29/24.25)*x       - we multiply both sides of the equation by x
100=6.3624742268041*x       - we divide both sides of the equation by (6.3624742268041) to get x
100/6.3624742268041=x
15.717156004926=x
x=15.717156004926

now we have:
24.25 is 15.717156004926% of 154.29