233.3 is what percent of 360 - 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 360 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 360, so we can write it down as 100%=360.
4. We know, that x% equals 233.3 of the output value, so we can write it down as x%=233.3.
5. Now we have two simple equations:
1) 100%=360
2) x%=233.3
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%=360/233.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 233.3 is what percent of 360

100%/x%=360/233.3
(100/x)*x=(360/233.3)*x       - we multiply both sides of the equation by x
100=1.5430775825118*x       - we divide both sides of the equation by (1.5430775825118) to get x
100/1.5430775825118=x
64.805555555556=x
x=64.805555555556

now we have:
233.3 is 64.805555555556% of 360