What is 10400 percent of 3.5 - 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 3.5 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 3.5 is 100%, so we can write it down as 3.5=100%.
4. We know, that x is 10400% of the output value, so we can write it down as x=10400%.
5. Now we have two simple equations:
1) 3.5=100%
2) x=10400%
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:
3.5/x=100%/10400%
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 10400% of 3.5

3.5/x=100/10400
(3.5/x)*x=(100/10400)*x       - we multiply both sides of the equation by x
3.5=0.0096153846153846*x       - we divide both sides of the equation by (0.0096153846153846) to get x
3.5/0.0096153846153846=x
364=x
x=364

now we have:
10400% of 3.5=364