What is 8.405 percent of 3450 - 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 3450 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 3450 is 100%, so we can write it down as 3450=100%.
4. We know, that x is 8.405% of the output value, so we can write it down as x=8.405%.
5. Now we have two simple equations:
1) 3450=100%
2) x=8.405%
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:
3450/x=100%/8.405%
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 8.405% of 3450

3450/x=100/8.405
(3450/x)*x=(100/8.405)*x       - we multiply both sides of the equation by x
3450=11.897679952409*x       - we divide both sides of the equation by (11.897679952409) to get x
3450/11.897679952409=x
289.9725=x
x=289.9725

now we have:
8.405% of 3450=289.9725