9.8 is what percent of 10.55 - 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 10.55 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 10.55, so we can write it down as 100%=10.55.
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%=10.55
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%=10.55/9.8
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 10.55

100%/x%=10.55/9.8
(100/x)*x=(10.55/9.8)*x       - we multiply both sides of the equation by x
100=1.0765306122449*x       - we divide both sides of the equation by (1.0765306122449) to get x
100/1.0765306122449=x
92.890995260664=x
x=92.890995260664

now we have:
9.8 is 92.890995260664% of 10.55