1009.4 is what percent of 3439.07 - 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 3439.07 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 3439.07, so we can write it down as 100%=3439.07.
4. We know, that x% equals 1009.4 of the output value, so we can write it down as x%=1009.4.
5. Now we have two simple equations:
1) 100%=3439.07
2) x%=1009.4
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%=3439.07/1009.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1009.4 is what percent of 3439.07

100%/x%=3439.07/1009.4
(100/x)*x=(3439.07/1009.4)*x       - we multiply both sides of the equation by x
100=3.4070437883891*x       - we divide both sides of the equation by (3.4070437883891) to get x
100/3.4070437883891=x
29.350958253249=x
x=29.350958253249

now we have:
1009.4 is 29.350958253249% of 3439.07