What is 77.7777 percent of 16 - 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 16 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 16 is 100%, so we can write it down as 16=100%.
4. We know, that x is 77.7777% of the output value, so we can write it down as x=77.7777%.
5. Now we have two simple equations:
1) 16=100%
2) x=77.7777%
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:
16/x=100%/77.7777%
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 77.7777% of 16

16/x=100/77.7777
(16/x)*x=(100/77.7777)*x       - we multiply both sides of the equation by x
16=1.2857155714299*x       - we divide both sides of the equation by (1.2857155714299) to get x
16/1.2857155714299=x
12.444432=x
x=12.444432

now we have:
77.7777% of 16=12.444432