371.75 is what percent of 3294.25 - 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 3294.25 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 3294.25, so we can write it down as 100%=3294.25.
4. We know, that x% equals 371.75 of the output value, so we can write it down as x%=371.75.
5. Now we have two simple equations:
1) 100%=3294.25
2) x%=371.75
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%=3294.25/371.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 371.75 is what percent of 3294.25

100%/x%=3294.25/371.75
(100/x)*x=(3294.25/371.75)*x       - we multiply both sides of the equation by x
100=8.8614660390047*x       - we divide both sides of the equation by (8.8614660390047) to get x
100/8.8614660390047=x
11.284814449419=x
x=11.284814449419

now we have:
371.75 is 11.284814449419% of 3294.25