What is 12.5 percent of 75.5 - 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 75.5 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 75.5 is 100%, so we can write it down as 75.5=100%.
4. We know, that x is 12.5% of the output value, so we can write it down as x=12.5%.
5. Now we have two simple equations:
1) 75.5=100%
2) x=12.5%
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:
75.5/x=100%/12.5%
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 12.5% of 75.5

75.5/x=100/12.5
(75.5/x)*x=(100/12.5)*x       - we multiply both sides of the equation by x
75.5=8*x       - we divide both sides of the equation by (8) to get x
75.5/8=x
9.4375=x
x=9.4375

now we have:
12.5% of 75.5=9.4375