What is 29.85 percent of 42.5 - 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 42.5 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 42.5 is 100%, so we can write it down as 42.5=100%.
4. We know, that x is 29.85% of the output value, so we can write it down as x=29.85%.
5. Now we have two simple equations:
1) 42.5=100%
2) x=29.85%
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:
42.5/x=100%/29.85%
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 29.85% of 42.5

42.5/x=100/29.85
(42.5/x)*x=(100/29.85)*x       - we multiply both sides of the equation by x
42.5=3.3500837520938*x       - we divide both sides of the equation by (3.3500837520938) to get x
42.5/3.3500837520938=x
12.68625=x
x=12.68625

now we have:
29.85% of 42.5=12.68625