7427.45 is what percent of 8000 - 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 8000 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 8000, so we can write it down as 100%=8000.
4. We know, that x% equals 7427.45 of the output value, so we can write it down as x%=7427.45.
5. Now we have two simple equations:
1) 100%=8000
2) x%=7427.45
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%=8000/7427.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7427.45 is what percent of 8000

100%/x%=8000/7427.45
(100/x)*x=(8000/7427.45)*x       - we multiply both sides of the equation by x
100=1.0770856754337*x       - we divide both sides of the equation by (1.0770856754337) to get x
100/1.0770856754337=x
92.843125=x
x=92.843125

now we have:
7427.45 is 92.843125% of 8000