What is 16 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 16% of the output value, so we can write it down as x=16%.
5. Now we have two simple equations:
1) 42.5=100%
2) x=16%
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%/16%
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 16% of 42.5

42.5/x=100/16
(42.5/x)*x=(100/16)*x       - we multiply both sides of the equation by x
42.5=6.25*x       - we divide both sides of the equation by (6.25) to get x
42.5/6.25=x
6.8=x
x=6.8

now we have:
16% of 42.5=6.8