What is 9.975 percent of 48.2 - 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 48.2 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 48.2 is 100%, so we can write it down as 48.2=100%.
4. We know, that x is 9.975% of the output value, so we can write it down as x=9.975%.
5. Now we have two simple equations:
1) 48.2=100%
2) x=9.975%
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:
48.2/x=100%/9.975%
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 9.975% of 48.2

48.2/x=100/9.975
(48.2/x)*x=(100/9.975)*x       - we multiply both sides of the equation by x
48.2=10.025062656642*x       - we divide both sides of the equation by (10.025062656642) to get x
48.2/10.025062656642=x
4.80795=x
x=4.80795

now we have:
9.975% of 48.2=4.80795