26.9 is what percent of 37.8 - 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 37.8 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 37.8, so we can write it down as 100%=37.8.
4. We know, that x% equals 26.9 of the output value, so we can write it down as x%=26.9.
5. Now we have two simple equations:
1) 100%=37.8
2) x%=26.9
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%=37.8/26.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 26.9 is what percent of 37.8

100%/x%=37.8/26.9
(100/x)*x=(37.8/26.9)*x       - we multiply both sides of the equation by x
100=1.4052044609665*x       - we divide both sides of the equation by (1.4052044609665) to get x
100/1.4052044609665=x
71.164021164021=x
x=71.164021164021

now we have:
26.9 is 71.164021164021% of 37.8