803.7 is what percent of 12.15 - 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 12.15 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 12.15, so we can write it down as 100%=12.15.
4. We know, that x% equals 803.7 of the output value, so we can write it down as x%=803.7.
5. Now we have two simple equations:
1) 100%=12.15
2) x%=803.7
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%=12.15/803.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 803.7 is what percent of 12.15

100%/x%=12.15/803.7
(100/x)*x=(12.15/803.7)*x       - we multiply both sides of the equation by x
100=0.01511758118701*x       - we divide both sides of the equation by (0.01511758118701) to get x
100/0.01511758118701=x
6614.8148148148=x
x=6614.8148148148

now we have:
803.7 is 6614.8148148148% of 12.15