893.18 is what percent of 7815.31 - 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 7815.31 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 7815.31, so we can write it down as 100%=7815.31.
4. We know, that x% equals 893.18 of the output value, so we can write it down as x%=893.18.
5. Now we have two simple equations:
1) 100%=7815.31
2) x%=893.18
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%=7815.31/893.18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 893.18 is what percent of 7815.31

100%/x%=7815.31/893.18
(100/x)*x=(7815.31/893.18)*x       - we multiply both sides of the equation by x
100=8.7499832060727*x       - we divide both sides of the equation by (8.7499832060727) to get x
100/8.7499832060727=x
11.428593363539=x
x=11.428593363539

now we have:
893.18 is 11.428593363539% of 7815.31