7.79 is what percent of 7.46 - 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 7.46 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 7.46, so we can write it down as 100%=7.46.
4. We know, that x% equals 7.79 of the output value, so we can write it down as x%=7.79.
5. Now we have two simple equations:
1) 100%=7.46
2) x%=7.79
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%=7.46/7.79
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.79 is what percent of 7.46

100%/x%=7.46/7.79
(100/x)*x=(7.46/7.79)*x       - we multiply both sides of the equation by x
100=0.95763799743261*x       - we divide both sides of the equation by (0.95763799743261) to get x
100/0.95763799743261=x
104.4235924933=x
x=104.4235924933

now we have:
7.79 is 104.4235924933% of 7.46