What is 35.4 percent of 413.42 - 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 413.42 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 413.42 is 100%, so we can write it down as 413.42=100%.
4. We know, that x is 35.4% of the output value, so we can write it down as x=35.4%.
5. Now we have two simple equations:
1) 413.42=100%
2) x=35.4%
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:
413.42/x=100%/35.4%
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 35.4% of 413.42

413.42/x=100/35.4
(413.42/x)*x=(100/35.4)*x       - we multiply both sides of the equation by x
413.42=2.8248587570621*x       - we divide both sides of the equation by (2.8248587570621) to get x
413.42/2.8248587570621=x
146.35068=x
x=146.35068

now we have:
35.4% of 413.42=146.35068