3.04 is what percent of 7.61 - 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 7.61 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 7.61, so we can write it down as 100%=7.61.
4. We know, that x% equals 3.04 of the output value, so we can write it down as x%=3.04.
5. Now we have two simple equations:
1) 100%=7.61
2) x%=3.04
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%=7.61/3.04
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.04 is what percent of 7.61

100%/x%=7.61/3.04
(100/x)*x=(7.61/3.04)*x       - we multiply both sides of the equation by x
100=2.5032894736842*x       - we divide both sides of the equation by (2.5032894736842) to get x
100/2.5032894736842=x
39.947437582129=x
x=39.947437582129

now we have:
3.04 is 39.947437582129% of 7.61