806.26 is what percent of 12150.72 - 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 12150.72 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 12150.72, so we can write it down as 100%=12150.72.
4. We know, that x% equals 806.26 of the output value, so we can write it down as x%=806.26.
5. Now we have two simple equations:
1) 100%=12150.72
2) x%=806.26
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%=12150.72/806.26
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 806.26 is what percent of 12150.72

100%/x%=12150.72/806.26
(100/x)*x=(12150.72/806.26)*x       - we multiply both sides of the equation by x
100=15.070473544514*x       - we divide both sides of the equation by (15.070473544514) to get x
100/15.070473544514=x
6.6354915593479=x
x=6.6354915593479

now we have:
806.26 is 6.6354915593479% of 12150.72