231.07 is what percent of 297.82 - 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 297.82 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 297.82, so we can write it down as 100%=297.82.
4. We know, that x% equals 231.07 of the output value, so we can write it down as x%=231.07.
5. Now we have two simple equations:
1) 100%=297.82
2) x%=231.07
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%=297.82/231.07
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 231.07 is what percent of 297.82

100%/x%=297.82/231.07
(100/x)*x=(297.82/231.07)*x       - we multiply both sides of the equation by x
100=1.2888735015363*x       - we divide both sides of the equation by (1.2888735015363) to get x
100/1.2888735015363=x
77.587133167685=x
x=77.587133167685

now we have:
231.07 is 77.587133167685% of 297.82