49.77 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 49.77 of the output value, so we can write it down as x%=49.77.
5. Now we have two simple equations:
1) 100%=7.77
2) x%=49.77
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%=7.77/49.77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 49.77 is what percent of 7.77

100%/x%=7.77/49.77
(100/x)*x=(7.77/49.77)*x       - we multiply both sides of the equation by x
100=0.15611814345992*x       - we divide both sides of the equation by (0.15611814345992) to get x
100/0.15611814345992=x
640.54054054054=x
x=640.54054054054

now we have:
49.77 is 640.54054054054% of 7.77