0.37 is what percent of 1.09 - 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 1.09 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 1.09, so we can write it down as 100%=1.09.
4. We know, that x% equals 0.37 of the output value, so we can write it down as x%=0.37.
5. Now we have two simple equations:
1) 100%=1.09
2) x%=0.37
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%=1.09/0.37
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.37 is what percent of 1.09

100%/x%=1.09/0.37
(100/x)*x=(1.09/0.37)*x       - we multiply both sides of the equation by x
100=2.9459459459459*x       - we divide both sides of the equation by (2.9459459459459) to get x
100/2.9459459459459=x
33.94495412844=x
x=33.94495412844

now we have:
0.37 is 33.94495412844% of 1.09