4.07 is what percent of 7.77 - 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 7.77 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 7.77, so we can write it down as 100%=7.77.
4. We know, that x% equals 4.07 of the output value, so we can write it down as x%=4.07.
5. Now we have two simple equations:
1) 100%=7.77
2) x%=4.07
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%=7.77/4.07
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.07 is what percent of 7.77

100%/x%=7.77/4.07
(100/x)*x=(7.77/4.07)*x       - we multiply both sides of the equation by x
100=1.9090909090909*x       - we divide both sides of the equation by (1.9090909090909) to get x
100/1.9090909090909=x
52.380952380952=x
x=52.380952380952

now we have:
4.07 is 52.380952380952% of 7.77