318.67 is what percent of 410 - 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 410 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 410, so we can write it down as 100%=410.
4. We know, that x% equals 318.67 of the output value, so we can write it down as x%=318.67.
5. Now we have two simple equations:
1) 100%=410
2) x%=318.67
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%=410/318.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 318.67 is what percent of 410

100%/x%=410/318.67
(100/x)*x=(410/318.67)*x       - we multiply both sides of the equation by x
100=1.2865974205291*x       - we divide both sides of the equation by (1.2865974205291) to get x
100/1.2865974205291=x
77.724390243902=x
x=77.724390243902

now we have:
318.67 is 77.724390243902% of 410