20 is what percent of 777.01 - 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 777.01 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 777.01, so we can write it down as 100%=777.01.
4. We know, that x% equals 20 of the output value, so we can write it down as x%=20.
5. Now we have two simple equations:
1) 100%=777.01
2) x%=20
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%=777.01/20
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20 is what percent of 777.01

100%/x%=777.01/20
(100/x)*x=(777.01/20)*x       - we multiply both sides of the equation by x
100=38.8505*x       - we divide both sides of the equation by (38.8505) to get x
100/38.8505=x
2.5739694469827=x
x=2.5739694469827

now we have:
20 is 2.5739694469827% of 777.01