What is 49.18 percent of 98.25 - 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 98.25 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 98.25 is 100%, so we can write it down as 98.25=100%.
4. We know, that x is 49.18% of the output value, so we can write it down as x=49.18%.
5. Now we have two simple equations:
1) 98.25=100%
2) x=49.18%
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:
98.25/x=100%/49.18%
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 49.18% of 98.25

98.25/x=100/49.18
(98.25/x)*x=(100/49.18)*x       - we multiply both sides of the equation by x
98.25=2.0333468889793*x       - we divide both sides of the equation by (2.0333468889793) to get x
98.25/2.0333468889793=x
48.31935=x
x=48.31935

now we have:
49.18% of 98.25=48.31935