297.8 is what percent of 2298.19 - 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 2298.19 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 2298.19, so we can write it down as 100%=2298.19.
4. We know, that x% equals 297.8 of the output value, so we can write it down as x%=297.8.
5. Now we have two simple equations:
1) 100%=2298.19
2) x%=297.8
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%=2298.19/297.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 297.8 is what percent of 2298.19

100%/x%=2298.19/297.8
(100/x)*x=(2298.19/297.8)*x       - we multiply both sides of the equation by x
100=7.7172263263936*x       - we divide both sides of the equation by (7.7172263263936) to get x
100/7.7172263263936=x
12.958023488049=x
x=12.958023488049

now we have:
297.8 is 12.958023488049% of 2298.19