What is 78.25 percent of 107.99999 - 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 107.99999 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 107.99999 is 100%, so we can write it down as 107.99999=100%.
4. We know, that x is 78.25% of the output value, so we can write it down as x=78.25%.
5. Now we have two simple equations:
1) 107.99999=100%
2) x=78.25%
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:
107.99999/x=100%/78.25%
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 78.25% of 107.99999

107.99999/x=100/78.25
(107.99999/x)*x=(100/78.25)*x       - we multiply both sides of the equation by x
107.99999=1.2779552715655*x       - we divide both sides of the equation by (1.2779552715655) to get x
107.99999/1.2779552715655=x
84.509992175=x
x=84.509992175

now we have:
78.25% of 107.99999=84.509992175