What is 102.5 percent of 47.5 - 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 47.5 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 47.5 is 100%, so we can write it down as 47.5=100%.
4. We know, that x is 102.5% of the output value, so we can write it down as x=102.5%.
5. Now we have two simple equations:
1) 47.5=100%
2) x=102.5%
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:
47.5/x=100%/102.5%
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 102.5% of 47.5

47.5/x=100/102.5
(47.5/x)*x=(100/102.5)*x       - we multiply both sides of the equation by x
47.5=0.97560975609756*x       - we divide both sides of the equation by (0.97560975609756) to get x
47.5/0.97560975609756=x
48.6875=x
x=48.6875

now we have:
102.5% of 47.5=48.6875