82.79 is what percent of 1646.75 - 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 1646.75 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 1646.75, so we can write it down as 100%=1646.75.
4. We know, that x% equals 82.79 of the output value, so we can write it down as x%=82.79.
5. Now we have two simple equations:
1) 100%=1646.75
2) x%=82.79
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%=1646.75/82.79
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 82.79 is what percent of 1646.75

100%/x%=1646.75/82.79
(100/x)*x=(1646.75/82.79)*x       - we multiply both sides of the equation by x
100=19.890687281073*x       - we divide both sides of the equation by (19.890687281073) to get x
100/19.890687281073=x
5.0274783664794=x
x=5.0274783664794

now we have:
82.79 is 5.0274783664794% of 1646.75