416.82 is what percent of 6723 - 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 6723 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 6723, so we can write it down as 100%=6723.
4. We know, that x% equals 416.82 of the output value, so we can write it down as x%=416.82.
5. Now we have two simple equations:
1) 100%=6723
2) x%=416.82
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%=6723/416.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 416.82 is what percent of 6723

100%/x%=6723/416.82
(100/x)*x=(6723/416.82)*x       - we multiply both sides of the equation by x
100=16.12926443069*x       - we divide both sides of the equation by (16.12926443069) to get x
100/16.12926443069=x
6.1999107541276=x
x=6.1999107541276

now we have:
416.82 is 6.1999107541276% of 6723