9.8 is what percent of 38400 - 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 38400 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 38400, so we can write it down as 100%=38400.
4. We know, that x% equals 9.8 of the output value, so we can write it down as x%=9.8.
5. Now we have two simple equations:
1) 100%=38400
2) x%=9.8
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%=38400/9.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.8 is what percent of 38400

100%/x%=38400/9.8
(100/x)*x=(38400/9.8)*x       - we multiply both sides of the equation by x
100=3918.3673469388*x       - we divide both sides of the equation by (3918.3673469388) to get x
100/3918.3673469388=x
0.025520833333333=x
x=0.025520833333333

now we have:
9.8 is 0.025520833333333% of 38400