679.27 is what percent of 864.24 - 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 864.24 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 864.24, so we can write it down as 100%=864.24.
4. We know, that x% equals 679.27 of the output value, so we can write it down as x%=679.27.
5. Now we have two simple equations:
1) 100%=864.24
2) x%=679.27
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%=864.24/679.27
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 679.27 is what percent of 864.24

100%/x%=864.24/679.27
(100/x)*x=(864.24/679.27)*x       - we multiply both sides of the equation by x
100=1.272307035494*x       - we divide both sides of the equation by (1.272307035494) to get x
100/1.272307035494=x
78.597380357308=x
x=78.597380357308

now we have:
679.27 is 78.597380357308% of 864.24