What is 85.7 percent of 355.2 - 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 355.2 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 355.2 is 100%, so we can write it down as 355.2=100%.
4. We know, that x is 85.7% of the output value, so we can write it down as x=85.7%.
5. Now we have two simple equations:
1) 355.2=100%
2) x=85.7%
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:
355.2/x=100%/85.7%
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 85.7% of 355.2

355.2/x=100/85.7
(355.2/x)*x=(100/85.7)*x       - we multiply both sides of the equation by x
355.2=1.1668611435239*x       - we divide both sides of the equation by (1.1668611435239) to get x
355.2/1.1668611435239=x
304.4064=x
x=304.4064

now we have:
85.7% of 355.2=304.4064