9.8 is what percent of 6209.25 - 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 6209.25 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 100% equals 6209.25, so we can write it down as 100%=6209.25.
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%=6209.25
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%=6209.25/9.8
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 6209.25

100%/x%=6209.25/9.8
(100/x)*x=(6209.25/9.8)*x       - we multiply both sides of the equation by x
100=633.59693877551*x       - we divide both sides of the equation by (633.59693877551) to get x
100/633.59693877551=x
0.15782904537585=x
x=0.15782904537585

now we have:
9.8 is 0.15782904537585% of 6209.25