77.8 is what percent of 2020 - 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 2020 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 2020, so we can write it down as 100%=2020.
4. We know, that x% equals 77.8 of the output value, so we can write it down as x%=77.8.
5. Now we have two simple equations:
1) 100%=2020
2) x%=77.8
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%=2020/77.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 77.8 is what percent of 2020

100%/x%=2020/77.8
(100/x)*x=(2020/77.8)*x       - we multiply both sides of the equation by x
100=25.964010282776*x       - we divide both sides of the equation by (25.964010282776) to get x
100/25.964010282776=x
3.8514851485149=x
x=3.8514851485149

now we have:
77.8 is 3.8514851485149% of 2020