7.61 is what percent of 105 - 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 105 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 105, so we can write it down as 100%=105.
4. We know, that x% equals 7.61 of the output value, so we can write it down as x%=7.61.
5. Now we have two simple equations:
1) 100%=105
2) x%=7.61
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%=105/7.61
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.61 is what percent of 105

100%/x%=105/7.61
(100/x)*x=(105/7.61)*x       - we multiply both sides of the equation by x
100=13.797634691196*x       - we divide both sides of the equation by (13.797634691196) to get x
100/13.797634691196=x
7.247619047619=x
x=7.247619047619

now we have:
7.61 is 7.247619047619% of 105