What is 3.33333333333 percent of 47.76 - 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 47.76 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 47.76 is 100%, so we can write it down as 47.76=100%.
4. We know, that x is 3.33333333333% of the output value, so we can write it down as x=3.33333333333%.
5. Now we have two simple equations:
1) 47.76=100%
2) x=3.33333333333%
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:
47.76/x=100%/3.33333333333%
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 3.33333333333% of 47.76

47.76/x=100/3.33333333333
(47.76/x)*x=(100/3.33333333333)*x       - we multiply both sides of the equation by x
47.76=30*x       - we divide both sides of the equation by (30) to get x
47.76/30=x
1.592=x
x=1.592

now we have:
3.33333333333% of 47.76=1.592