20.78 is what percent of 394.07 - 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 394.07 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 394.07, so we can write it down as 100%=394.07.
4. We know, that x% equals 20.78 of the output value, so we can write it down as x%=20.78.
5. Now we have two simple equations:
1) 100%=394.07
2) x%=20.78
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%=394.07/20.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20.78 is what percent of 394.07

100%/x%=394.07/20.78
(100/x)*x=(394.07/20.78)*x       - we multiply both sides of the equation by x
100=18.963907603465*x       - we divide both sides of the equation by (18.963907603465) to get x
100/18.963907603465=x
5.2731748166569=x
x=5.2731748166569

now we have:
20.78 is 5.2731748166569% of 394.07