17.72 is what percent of 24.28 - 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 24.28 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 24.28, so we can write it down as 100%=24.28.
4. We know, that x% equals 17.72 of the output value, so we can write it down as x%=17.72.
5. Now we have two simple equations:
1) 100%=24.28
2) x%=17.72
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%=24.28/17.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 17.72 is what percent of 24.28

100%/x%=24.28/17.72
(100/x)*x=(24.28/17.72)*x       - we multiply both sides of the equation by x
100=1.3702031602709*x       - we divide both sides of the equation by (1.3702031602709) to get x
100/1.3702031602709=x
72.981878088962=x
x=72.981878088962

now we have:
17.72 is 72.981878088962% of 24.28