What is 3.35 percent of 1516.67 - 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 1516.67 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 1516.67 is 100%, so we can write it down as 1516.67=100%.
4. We know, that x is 3.35% of the output value, so we can write it down as x=3.35%.
5. Now we have two simple equations:
1) 1516.67=100%
2) x=3.35%
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:
1516.67/x=100%/3.35%
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 3.35% of 1516.67

1516.67/x=100/3.35
(1516.67/x)*x=(100/3.35)*x       - we multiply both sides of the equation by x
1516.67=29.850746268657*x       - we divide both sides of the equation by (29.850746268657) to get x
1516.67/29.850746268657=x
50.808445=x
x=50.808445

now we have:
3.35% of 1516.67=50.808445