9.8 is what percent of 9.81 - 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 9.81 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 9.81, so we can write it down as 100%=9.81.
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%=9.81
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%=9.81/9.8
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 9.81

100%/x%=9.81/9.8
(100/x)*x=(9.81/9.8)*x       - we multiply both sides of the equation by x
100=1.0010204081633*x       - we divide both sides of the equation by (1.0010204081633) to get x
100/1.0010204081633=x
99.898063200815=x
x=99.898063200815

now we have:
9.8 is 99.898063200815% of 9.81