233.67 is what percent of 313.5 - 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 313.5 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 313.5, so we can write it down as 100%=313.5.
4. We know, that x% equals 233.67 of the output value, so we can write it down as x%=233.67.
5. Now we have two simple equations:
1) 100%=313.5
2) x%=233.67
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%=313.5/233.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 233.67 is what percent of 313.5

100%/x%=313.5/233.67
(100/x)*x=(313.5/233.67)*x       - we multiply both sides of the equation by x
100=1.3416356400051*x       - we divide both sides of the equation by (1.3416356400051) to get x
100/1.3416356400051=x
74.535885167464=x
x=74.535885167464

now we have:
233.67 is 74.535885167464% of 313.5