6.61 is what percent of 7.31 - 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 7.31 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 7.31, so we can write it down as 100%=7.31.
4. We know, that x% equals 6.61 of the output value, so we can write it down as x%=6.61.
5. Now we have two simple equations:
1) 100%=7.31
2) x%=6.61
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%=7.31/6.61
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.61 is what percent of 7.31

100%/x%=7.31/6.61
(100/x)*x=(7.31/6.61)*x       - we multiply both sides of the equation by x
100=1.1059001512859*x       - we divide both sides of the equation by (1.1059001512859) to get x
100/1.1059001512859=x
90.424076607387=x
x=90.424076607387

now we have:
6.61 is 90.424076607387% of 7.31