What is 102.5 percent of 49.9 - 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 49.9 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 49.9 is 100%, so we can write it down as 49.9=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) 49.9=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:
49.9/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 49.9

49.9/x=100/102.5
(49.9/x)*x=(100/102.5)*x       - we multiply both sides of the equation by x
49.9=0.97560975609756*x       - we divide both sides of the equation by (0.97560975609756) to get x
49.9/0.97560975609756=x
51.1475=x
x=51.1475

now we have:
102.5% of 49.9=51.1475