80 is what percent of 476.982 - 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 476.982 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 476.982, so we can write it down as 100%=476.982.
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%=476.982
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%=476.982/80
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 476.982

100%/x%=476.982/80
(100/x)*x=(476.982/80)*x       - we multiply both sides of the equation by x
100=5.962275*x       - we divide both sides of the equation by (5.962275) to get x
100/5.962275=x
16.772121379842=x
x=16.772121379842

now we have:
80 is 16.772121379842% of 476.982