270.94 is what percent of 8091.66 - 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 8091.66 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 8091.66, so we can write it down as 100%=8091.66.
4. We know, that x% equals 270.94 of the output value, so we can write it down as x%=270.94.
5. Now we have two simple equations:
1) 100%=8091.66
2) x%=270.94
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%=8091.66/270.94
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 270.94 is what percent of 8091.66

100%/x%=8091.66/270.94
(100/x)*x=(8091.66/270.94)*x       - we multiply both sides of the equation by x
100=29.865136192515*x       - we divide both sides of the equation by (29.865136192515) to get x
100/29.865136192515=x
3.348385868907=x
x=3.348385868907

now we have:
270.94 is 3.348385868907% of 8091.66