102.7 is what percent of 24.9 - 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 24.9 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 24.9, so we can write it down as 100%=24.9.
4. We know, that x% equals 102.7 of the output value, so we can write it down as x%=102.7.
5. Now we have two simple equations:
1) 100%=24.9
2) x%=102.7
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%=24.9/102.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 102.7 is what percent of 24.9

100%/x%=24.9/102.7
(100/x)*x=(24.9/102.7)*x       - we multiply both sides of the equation by x
100=0.24245374878286*x       - we divide both sides of the equation by (0.24245374878286) to get x
100/0.24245374878286=x
412.44979919679=x
x=412.44979919679

now we have:
102.7 is 412.44979919679% of 24.9