233.36 is what percent of 313 - 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 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, so we can write it down as 100%=313.
4. We know, that x% equals 233.36 of the output value, so we can write it down as x%=233.36.
5. Now we have two simple equations:
1) 100%=313
2) x%=233.36
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%=313/233.36
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 233.36 is what percent of 313

100%/x%=313/233.36
(100/x)*x=(313/233.36)*x       - we multiply both sides of the equation by x
100=1.3412752828248*x       - we divide both sides of the equation by (1.3412752828248) to get x
100/1.3412752828248=x
74.555910543131=x
x=74.555910543131

now we have:
233.36 is 74.555910543131% of 313