3413.4 is what percent of 9820 - 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 9820 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 100% equals 9820, so we can write it down as 100%=9820.
4. We know, that x% equals 3413.4 of the output value, so we can write it down as x%=3413.4.
5. Now we have two simple equations:
1) 100%=9820
2) x%=3413.4
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:
100%/x%=9820/3413.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3413.4 is what percent of 9820

100%/x%=9820/3413.4
(100/x)*x=(9820/3413.4)*x       - we multiply both sides of the equation by x
100=2.8768969356067*x       - we divide both sides of the equation by (2.8768969356067) to get x
100/2.8768969356067=x
34.75967413442=x
x=34.75967413442

now we have:
3413.4 is 34.75967413442% of 9820