0.77 is what percent of 39.85 - 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 39.85 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 39.85, so we can write it down as 100%=39.85.
4. We know, that x% equals 0.77 of the output value, so we can write it down as x%=0.77.
5. Now we have two simple equations:
1) 100%=39.85
2) x%=0.77
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%=39.85/0.77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.77 is what percent of 39.85

100%/x%=39.85/0.77
(100/x)*x=(39.85/0.77)*x       - we multiply both sides of the equation by x
100=51.753246753247*x       - we divide both sides of the equation by (51.753246753247) to get x
100/51.753246753247=x
1.9322459222083=x
x=1.9322459222083

now we have:
0.77 is 1.9322459222083% of 39.85