What is 77.78 percent of 1.016 - 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 1.016 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 1.016 is 100%, so we can write it down as 1.016=100%.
4. We know, that x is 77.78% of the output value, so we can write it down as x=77.78%.
5. Now we have two simple equations:
1) 1.016=100%
2) x=77.78%
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:
1.016/x=100%/77.78%
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 77.78% of 1.016

1.016/x=100/77.78
(1.016/x)*x=(100/77.78)*x       - we multiply both sides of the equation by x
1.016=1.2856775520699*x       - we divide both sides of the equation by (1.2856775520699) to get x
1.016/1.2856775520699=x
0.7902448=x
x=0.7902448

now we have:
77.78% of 1.016=0.7902448