What is 13.5 percent of 442.25 - 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 442.25 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 442.25 is 100%, so we can write it down as 442.25=100%.
4. We know, that x is 13.5% of the output value, so we can write it down as x=13.5%.
5. Now we have two simple equations:
1) 442.25=100%
2) x=13.5%
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:
442.25/x=100%/13.5%
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 13.5% of 442.25

442.25/x=100/13.5
(442.25/x)*x=(100/13.5)*x       - we multiply both sides of the equation by x
442.25=7.4074074074074*x       - we divide both sides of the equation by (7.4074074074074) to get x
442.25/7.4074074074074=x
59.70375=x
x=59.70375

now we have:
13.5% of 442.25=59.70375