317.11 is what percent of 4645 - 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 4645 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 4645, so we can write it down as 100%=4645.
4. We know, that x% equals 317.11 of the output value, so we can write it down as x%=317.11.
5. Now we have two simple equations:
1) 100%=4645
2) x%=317.11
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%=4645/317.11
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 317.11 is what percent of 4645

100%/x%=4645/317.11
(100/x)*x=(4645/317.11)*x       - we multiply both sides of the equation by x
100=14.647913973069*x       - we divide both sides of the equation by (14.647913973069) to get x
100/14.647913973069=x
6.82691065662=x
x=6.82691065662

now we have:
317.11 is 6.82691065662% of 4645