7488.96 is what percent of 85795.84 - 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 85795.84 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 85795.84, so we can write it down as 100%=85795.84.
4. We know, that x% equals 7488.96 of the output value, so we can write it down as x%=7488.96.
5. Now we have two simple equations:
1) 100%=85795.84
2) x%=7488.96
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%=85795.84/7488.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7488.96 is what percent of 85795.84

100%/x%=85795.84/7488.96
(100/x)*x=(85795.84/7488.96)*x       - we multiply both sides of the equation by x
100=11.456309020211*x       - we divide both sides of the equation by (11.456309020211) to get x
100/11.456309020211=x
8.7288148236558=x
x=8.7288148236558

now we have:
7488.96 is 8.7288148236558% of 85795.84