75712.84 is what percent of 69719.72 - 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 69719.72 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 69719.72, so we can write it down as 100%=69719.72.
4. We know, that x% equals 75712.84 of the output value, so we can write it down as x%=75712.84.
5. Now we have two simple equations:
1) 100%=69719.72
2) x%=75712.84
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%=69719.72/75712.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 75712.84 is what percent of 69719.72

100%/x%=69719.72/75712.84
(100/x)*x=(69719.72/75712.84)*x       - we multiply both sides of the equation by x
100=0.92084407347552*x       - we divide both sides of the equation by (0.92084407347552) to get x
100/0.92084407347552=x
108.59601845791=x
x=108.59601845791

now we have:
75712.84 is 108.59601845791% of 69719.72