297.08 is what percent of 2761.8 - 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 2761.8 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 2761.8, so we can write it down as 100%=2761.8.
4. We know, that x% equals 297.08 of the output value, so we can write it down as x%=297.08.
5. Now we have two simple equations:
1) 100%=2761.8
2) x%=297.08
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%=2761.8/297.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 297.08 is what percent of 2761.8

100%/x%=2761.8/297.08
(100/x)*x=(2761.8/297.08)*x       - we multiply both sides of the equation by x
100=9.296485795072*x       - we divide both sides of the equation by (9.296485795072) to get x
100/9.296485795072=x
10.756752842349=x
x=10.756752842349

now we have:
297.08 is 10.756752842349% of 2761.8