318.36 is what percent of 3366.67 - 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 3366.67 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 3366.67, so we can write it down as 100%=3366.67.
4. We know, that x% equals 318.36 of the output value, so we can write it down as x%=318.36.
5. Now we have two simple equations:
1) 100%=3366.67
2) x%=318.36
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%=3366.67/318.36
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 318.36 is what percent of 3366.67

100%/x%=3366.67/318.36
(100/x)*x=(3366.67/318.36)*x       - we multiply both sides of the equation by x
100=10.575040834276*x       - we divide both sides of the equation by (10.575040834276) to get x
100/10.575040834276=x
9.4562282611601=x
x=9.4562282611601

now we have:
318.36 is 9.4562282611601% of 3366.67