What is 77.7 percent of 110 - 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 110 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 110 is 100%, so we can write it down as 110=100%.
4. We know, that x is 77.7% of the output value, so we can write it down as x=77.7%.
5. Now we have two simple equations:
1) 110=100%
2) x=77.7%
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:
110/x=100%/77.7%
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 77.7% of 110

110/x=100/77.7
(110/x)*x=(100/77.7)*x       - we multiply both sides of the equation by x
110=1.2870012870013*x       - we divide both sides of the equation by (1.2870012870013) to get x
110/1.2870012870013=x
85.47=x
x=85.47

now we have:
77.7% of 110=85.47