311 is what percent of 297 - 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 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, so we can write it down as 100%=297.
4. We know, that x% equals 311 of the output value, so we can write it down as x%=311.
5. Now we have two simple equations:
1) 100%=297
2) x%=311
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%=297/311
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 311 is what percent of 297

100%/x%=297/311
(100/x)*x=(297/311)*x       - we multiply both sides of the equation by x
100=0.95498392282958*x       - we divide both sides of the equation by (0.95498392282958) to get x
100/0.95498392282958=x
104.7138047138=x
x=104.7138047138

now we have:
311 is 104.7138047138% of 297