27.37 is what percent of 254.64 - 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 254.64 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 254.64, so we can write it down as 100%=254.64.
4. We know, that x% equals 27.37 of the output value, so we can write it down as x%=27.37.
5. Now we have two simple equations:
1) 100%=254.64
2) x%=27.37
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%=254.64/27.37
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 27.37 is what percent of 254.64

100%/x%=254.64/27.37
(100/x)*x=(254.64/27.37)*x       - we multiply both sides of the equation by x
100=9.3036170990135*x       - we divide both sides of the equation by (9.3036170990135) to get x
100/9.3036170990135=x
10.748507697141=x
x=10.748507697141

now we have:
27.37 is 10.748507697141% of 254.64