What is 80.5 percent of 10.2 - 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 10.2 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 10.2 is 100%, so we can write it down as 10.2=100%.
4. We know, that x is 80.5% of the output value, so we can write it down as x=80.5%.
5. Now we have two simple equations:
1) 10.2=100%
2) x=80.5%
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:
10.2/x=100%/80.5%
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 80.5% of 10.2

10.2/x=100/80.5
(10.2/x)*x=(100/80.5)*x       - we multiply both sides of the equation by x
10.2=1.2422360248447*x       - we divide both sides of the equation by (1.2422360248447) to get x
10.2/1.2422360248447=x
8.211=x
x=8.211

now we have:
80.5% of 10.2=8.211