What is 42.75 percent of 77.75 - 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 77.75 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 77.75 is 100%, so we can write it down as 77.75=100%.
4. We know, that x is 42.75% of the output value, so we can write it down as x=42.75%.
5. Now we have two simple equations:
1) 77.75=100%
2) x=42.75%
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:
77.75/x=100%/42.75%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 42.75% of 77.75

77.75/x=100/42.75
(77.75/x)*x=(100/42.75)*x       - we multiply both sides of the equation by x
77.75=2.3391812865497*x       - we divide both sides of the equation by (2.3391812865497) to get x
77.75/2.3391812865497=x
33.238125=x
x=33.238125

now we have:
42.75% of 77.75=33.238125