26.05 is what percent of 38.36 - 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 38.36 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 38.36, so we can write it down as 100%=38.36.
4. We know, that x% equals 26.05 of the output value, so we can write it down as x%=26.05.
5. Now we have two simple equations:
1) 100%=38.36
2) x%=26.05
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%=38.36/26.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 26.05 is what percent of 38.36

100%/x%=38.36/26.05
(100/x)*x=(38.36/26.05)*x       - we multiply both sides of the equation by x
100=1.4725527831094*x       - we divide both sides of the equation by (1.4725527831094) to get x
100/1.4725527831094=x
67.909280500521=x
x=67.909280500521

now we have:
26.05 is 67.909280500521% of 38.36