What is 80.42 percent of 408.65 - 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 408.65 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 408.65 is 100%, so we can write it down as 408.65=100%.
4. We know, that x is 80.42% of the output value, so we can write it down as x=80.42%.
5. Now we have two simple equations:
1) 408.65=100%
2) x=80.42%
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:
408.65/x=100%/80.42%
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 80.42% of 408.65

408.65/x=100/80.42
(408.65/x)*x=(100/80.42)*x       - we multiply both sides of the equation by x
408.65=1.2434717731907*x       - we divide both sides of the equation by (1.2434717731907) to get x
408.65/1.2434717731907=x
328.63633=x
x=328.63633

now we have:
80.42% of 408.65=328.63633