What is 13.38 percent of 3500 - 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 3500 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 3500 is 100%, so we can write it down as 3500=100%.
4. We know, that x is 13.38% of the output value, so we can write it down as x=13.38%.
5. Now we have two simple equations:
1) 3500=100%
2) x=13.38%
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:
3500/x=100%/13.38%
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 13.38% of 3500

3500/x=100/13.38
(3500/x)*x=(100/13.38)*x       - we multiply both sides of the equation by x
3500=7.473841554559*x       - we divide both sides of the equation by (7.473841554559) to get x
3500/7.473841554559=x
468.3=x
x=468.3

now we have:
13.38% of 3500=468.3