24.18 is what percent of 254.5 - 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 254.5 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 254.5, so we can write it down as 100%=254.5.
4. We know, that x% equals 24.18 of the output value, so we can write it down as x%=24.18.
5. Now we have two simple equations:
1) 100%=254.5
2) x%=24.18
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%=254.5/24.18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 24.18 is what percent of 254.5

100%/x%=254.5/24.18
(100/x)*x=(254.5/24.18)*x       - we multiply both sides of the equation by x
100=10.525227460711*x       - we divide both sides of the equation by (10.525227460711) to get x
100/10.525227460711=x
9.5009823182711=x
x=9.5009823182711

now we have:
24.18 is 9.5009823182711% of 254.5