26.54 is what percent of 55.99 - 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 55.99 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 55.99, so we can write it down as 100%=55.99.
4. We know, that x% equals 26.54 of the output value, so we can write it down as x%=26.54.
5. Now we have two simple equations:
1) 100%=55.99
2) x%=26.54
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%=55.99/26.54
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 26.54 is what percent of 55.99

100%/x%=55.99/26.54
(100/x)*x=(55.99/26.54)*x       - we multiply both sides of the equation by x
100=2.1096458176338*x       - we divide both sides of the equation by (2.1096458176338) to get x
100/2.1096458176338=x
47.401321664583=x
x=47.401321664583

now we have:
26.54 is 47.401321664583% of 55.99