9.8 is what percent of 155.6 - 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 155.6 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 155.6, so we can write it down as 100%=155.6.
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%=155.6
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%=155.6/9.8
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 155.6

100%/x%=155.6/9.8
(100/x)*x=(155.6/9.8)*x       - we multiply both sides of the equation by x
100=15.877551020408*x       - we divide both sides of the equation by (15.877551020408) to get x
100/15.877551020408=x
6.2982005141388=x
x=6.2982005141388

now we have:
9.8 is 6.2982005141388% of 155.6