27.38 is what percent of 37.97 - 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 37.97 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 37.97, so we can write it down as 100%=37.97.
4. We know, that x% equals 27.38 of the output value, so we can write it down as x%=27.38.
5. Now we have two simple equations:
1) 100%=37.97
2) x%=27.38
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%=37.97/27.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 27.38 is what percent of 37.97

100%/x%=37.97/27.38
(100/x)*x=(37.97/27.38)*x       - we multiply both sides of the equation by x
100=1.3867786705625*x       - we divide both sides of the equation by (1.3867786705625) to get x
100/1.3867786705625=x
72.109560179089=x
x=72.109560179089

now we have:
27.38 is 72.109560179089% of 37.97