234.85 is what percent of 297.7 - 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 297.7 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 297.7, so we can write it down as 100%=297.7.
4. We know, that x% equals 234.85 of the output value, so we can write it down as x%=234.85.
5. Now we have two simple equations:
1) 100%=297.7
2) x%=234.85
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%=297.7/234.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 234.85 is what percent of 297.7

100%/x%=297.7/234.85
(100/x)*x=(297.7/234.85)*x       - we multiply both sides of the equation by x
100=1.2676176282734*x       - we divide both sides of the equation by (1.2676176282734) to get x
100/1.2676176282734=x
78.88814242526=x
x=78.88814242526

now we have:
234.85 is 78.88814242526% of 297.7