What is 99 percent of 80.7071 - 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 80.7071 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 80.7071 is 100%, so we can write it down as 80.7071=100%.
4. We know, that x is 99% of the output value, so we can write it down as x=99%.
5. Now we have two simple equations:
1) 80.7071=100%
2) x=99%
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:
80.7071/x=100%/99%
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 99% of 80.7071

80.7071/x=100/99
(80.7071/x)*x=(100/99)*x       - we multiply both sides of the equation by x
80.7071=1.010101010101*x       - we divide both sides of the equation by (1.010101010101) to get x
80.7071/1.010101010101=x
79.900029=x
x=79.900029

now we have:
99% of 80.7071=79.900029