3.94 is what percent of 5.05 - 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 5.05 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 5.05, so we can write it down as 100%=5.05.
4. We know, that x% equals 3.94 of the output value, so we can write it down as x%=3.94.
5. Now we have two simple equations:
1) 100%=5.05
2) x%=3.94
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%=5.05/3.94
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.94 is what percent of 5.05

100%/x%=5.05/3.94
(100/x)*x=(5.05/3.94)*x       - we multiply both sides of the equation by x
100=1.2817258883249*x       - we divide both sides of the equation by (1.2817258883249) to get x
100/1.2817258883249=x
78.019801980198=x
x=78.019801980198

now we have:
3.94 is 78.019801980198% of 5.05