What is 80.357142857143 percent of 355 - 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 355 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 355 is 100%, so we can write it down as 355=100%.
4. We know, that x is 80.357142857143% of the output value, so we can write it down as x=80.357142857143%.
5. Now we have two simple equations:
1) 355=100%
2) x=80.357142857143%
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:
355/x=100%/80.357142857143%
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 80.357142857143% of 355

355/x=100/80.357142857143
(355/x)*x=(100/80.357142857143)*x       - we multiply both sides of the equation by x
355=1.2444444444444*x       - we divide both sides of the equation by (1.2444444444444) to get x
355/1.2444444444444=x
285.26785714286=x
x=285.26785714286

now we have:
80.357142857143% of 355=285.26785714286