26.09 is what percent of 35.9 - 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 35.9 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 35.9, so we can write it down as 100%=35.9.
4. We know, that x% equals 26.09 of the output value, so we can write it down as x%=26.09.
5. Now we have two simple equations:
1) 100%=35.9
2) x%=26.09
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%=35.9/26.09
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 26.09 is what percent of 35.9

100%/x%=35.9/26.09
(100/x)*x=(35.9/26.09)*x       - we multiply both sides of the equation by x
100=1.3760061326179*x       - we divide both sides of the equation by (1.3760061326179) to get x
100/1.3760061326179=x
72.674094707521=x
x=72.674094707521

now we have:
26.09 is 72.674094707521% of 35.9