4.14 is what percent of 24.17 - 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 24.17 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 24.17, so we can write it down as 100%=24.17.
4. We know, that x% equals 4.14 of the output value, so we can write it down as x%=4.14.
5. Now we have two simple equations:
1) 100%=24.17
2) x%=4.14
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%=24.17/4.14
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.14 is what percent of 24.17

100%/x%=24.17/4.14
(100/x)*x=(24.17/4.14)*x       - we multiply both sides of the equation by x
100=5.8381642512077*x       - we divide both sides of the equation by (5.8381642512077) to get x
100/5.8381642512077=x
17.128671907323=x
x=17.128671907323

now we have:
4.14 is 17.128671907323% of 24.17