1.15 is what percent of 3.12 - 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 3.12 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 3.12, so we can write it down as 100%=3.12.
4. We know, that x% equals 1.15 of the output value, so we can write it down as x%=1.15.
5. Now we have two simple equations:
1) 100%=3.12
2) x%=1.15
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%=3.12/1.15
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.15 is what percent of 3.12

100%/x%=3.12/1.15
(100/x)*x=(3.12/1.15)*x       - we multiply both sides of the equation by x
100=2.7130434782609*x       - we divide both sides of the equation by (2.7130434782609) to get x
100/2.7130434782609=x
36.858974358974=x
x=36.858974358974

now we have:
1.15 is 36.858974358974% of 3.12