215.2 is what percent of 24.6 - 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 24.6 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 24.6, so we can write it down as 100%=24.6.
4. We know, that x% equals 215.2 of the output value, so we can write it down as x%=215.2.
5. Now we have two simple equations:
1) 100%=24.6
2) x%=215.2
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%=24.6/215.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 215.2 is what percent of 24.6

100%/x%=24.6/215.2
(100/x)*x=(24.6/215.2)*x       - we multiply both sides of the equation by x
100=0.11431226765799*x       - we divide both sides of the equation by (0.11431226765799) to get x
100/0.11431226765799=x
874.79674796748=x
x=874.79674796748

now we have:
215.2 is 874.79674796748% of 24.6