9.81 is what percent of 61.423 - 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 61.423 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 61.423, so we can write it down as 100%=61.423.
4. We know, that x% equals 9.81 of the output value, so we can write it down as x%=9.81.
5. Now we have two simple equations:
1) 100%=61.423
2) x%=9.81
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%=61.423/9.81
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.81 is what percent of 61.423

100%/x%=61.423/9.81
(100/x)*x=(61.423/9.81)*x       - we multiply both sides of the equation by x
100=6.2612640163099*x       - we divide both sides of the equation by (6.2612640163099) to get x
100/6.2612640163099=x
15.971215994009=x
x=15.971215994009

now we have:
9.81 is 15.971215994009% of 61.423