80 is what percent of 4085 - 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 4085 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 4085, so we can write it down as 100%=4085.
4. We know, that x% equals 80 of the output value, so we can write it down as x%=80.
5. Now we have two simple equations:
1) 100%=4085
2) x%=80
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%=4085/80
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 80 is what percent of 4085

100%/x%=4085/80
(100/x)*x=(4085/80)*x       - we multiply both sides of the equation by x
100=51.0625*x       - we divide both sides of the equation by (51.0625) to get x
100/51.0625=x
1.9583843329253=x
x=1.9583843329253

now we have:
80 is 1.9583843329253% of 4085