82.78 is what percent of 400 - 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 400 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 400, so we can write it down as 100%=400.
4. We know, that x% equals 82.78 of the output value, so we can write it down as x%=82.78.
5. Now we have two simple equations:
1) 100%=400
2) x%=82.78
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%=400/82.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 82.78 is what percent of 400

100%/x%=400/82.78
(100/x)*x=(400/82.78)*x       - we multiply both sides of the equation by x
100=4.8320850446968*x       - we divide both sides of the equation by (4.8320850446968) to get x
100/4.8320850446968=x
20.695=x
x=20.695

now we have:
82.78 is 20.695% of 400