7.71 is what percent of 113.46 - 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 113.46 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 113.46, so we can write it down as 100%=113.46.
4. We know, that x% equals 7.71 of the output value, so we can write it down as x%=7.71.
5. Now we have two simple equations:
1) 100%=113.46
2) x%=7.71
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%=113.46/7.71
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.71 is what percent of 113.46

100%/x%=113.46/7.71
(100/x)*x=(113.46/7.71)*x       - we multiply both sides of the equation by x
100=14.715953307393*x       - we divide both sides of the equation by (14.715953307393) to get x
100/14.715953307393=x
6.795346377578=x
x=6.795346377578

now we have:
7.71 is 6.795346377578% of 113.46