What is 3009 percent of 3400 - 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 3400 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 3400 is 100%, so we can write it down as 3400=100%.
4. We know, that x is 3009% of the output value, so we can write it down as x=3009%.
5. Now we have two simple equations:
1) 3400=100%
2) x=3009%
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:
3400/x=100%/3009%
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 3009% of 3400

3400/x=100/3009
(3400/x)*x=(100/3009)*x       - we multiply both sides of the equation by x
3400=0.033233632436025*x       - we divide both sides of the equation by (0.033233632436025) to get x
3400/0.033233632436025=x
102306=x
x=102306

now we have:
3009% of 3400=102306