26.14 is what percent of 104.56 - 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 104.56 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 104.56, so we can write it down as 100%=104.56.
4. We know, that x% equals 26.14 of the output value, so we can write it down as x%=26.14.
5. Now we have two simple equations:
1) 100%=104.56
2) x%=26.14
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%=104.56/26.14
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 26.14 is what percent of 104.56

100%/x%=104.56/26.14
(100/x)*x=(104.56/26.14)*x       - we multiply both sides of the equation by x
100=4*x       - we divide both sides of the equation by (4) to get x
100/4=x
25=x
x=25

now we have:
26.14 is 25% of 104.56