3.67 is what percent of 3.39 - 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 3.39 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 3.39, so we can write it down as 100%=3.39.
4. We know, that x% equals 3.67 of the output value, so we can write it down as x%=3.67.
5. Now we have two simple equations:
1) 100%=3.39
2) x%=3.67
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%=3.39/3.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.67 is what percent of 3.39

100%/x%=3.39/3.67
(100/x)*x=(3.39/3.67)*x       - we multiply both sides of the equation by x
100=0.92370572207084*x       - we divide both sides of the equation by (0.92370572207084) to get x
100/0.92370572207084=x
108.25958702065=x
x=108.25958702065

now we have:
3.67 is 108.25958702065% of 3.39