What is 3.333333333 percent of 337.5 - 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 337.5 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 337.5 is 100%, so we can write it down as 337.5=100%.
4. We know, that x is 3.333333333% of the output value, so we can write it down as x=3.333333333%.
5. Now we have two simple equations:
1) 337.5=100%
2) x=3.333333333%
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:
337.5/x=100%/3.333333333%
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 3.333333333% of 337.5

337.5/x=100/3.333333333
(337.5/x)*x=(100/3.333333333)*x       - we multiply both sides of the equation by x
337.5=30.000000003*x       - we divide both sides of the equation by (30.000000003) to get x
337.5/30.000000003=x
11.249999998875=x
x=11.249999998875

now we have:
3.333333333% of 337.5=11.249999998875