1.2 is what percent of 37.1 - 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 37.1 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 37.1, so we can write it down as 100%=37.1.
4. We know, that x% equals 1.2 of the output value, so we can write it down as x%=1.2.
5. Now we have two simple equations:
1) 100%=37.1
2) x%=1.2
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%=37.1/1.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.2 is what percent of 37.1

100%/x%=37.1/1.2
(100/x)*x=(37.1/1.2)*x       - we multiply both sides of the equation by x
100=30.916666666667*x       - we divide both sides of the equation by (30.916666666667) to get x
100/30.916666666667=x
3.2345013477089=x
x=3.2345013477089

now we have:
1.2 is 3.2345013477089% of 37.1