9849.8 is what percent of 80498 - 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 80498 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 100% equals 80498, so we can write it down as 100%=80498.
4. We know, that x% equals 9849.8 of the output value, so we can write it down as x%=9849.8.
5. Now we have two simple equations:
1) 100%=80498
2) x%=9849.8
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:
100%/x%=80498/9849.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9849.8 is what percent of 80498

100%/x%=80498/9849.8
(100/x)*x=(80498/9849.8)*x       - we multiply both sides of the equation by x
100=8.1725517269386*x       - we divide both sides of the equation by (8.1725517269386) to get x
100/8.1725517269386=x
12.236080399513=x
x=12.236080399513

now we have:
9849.8 is 12.236080399513% of 80498