What is 80.7 percent of 101 - 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 101 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 101 is 100%, so we can write it down as 101=100%.
4. We know, that x is 80.7% of the output value, so we can write it down as x=80.7%.
5. Now we have two simple equations:
1) 101=100%
2) x=80.7%
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:
101/x=100%/80.7%
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 80.7% of 101

101/x=100/80.7
(101/x)*x=(100/80.7)*x       - we multiply both sides of the equation by x
101=1.2391573729864*x       - we divide both sides of the equation by (1.2391573729864) to get x
101/1.2391573729864=x
81.507=x
x=81.507

now we have:
80.7% of 101=81.507