7.85 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 7.85 of the output value, so we can write it down as x%=7.85.
5. Now we have two simple equations:
1) 100%=9.81
2) x%=7.85
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%=9.81/7.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.85 is what percent of 9.81

100%/x%=9.81/7.85
(100/x)*x=(9.81/7.85)*x       - we multiply both sides of the equation by x
100=1.2496815286624*x       - we divide both sides of the equation by (1.2496815286624) to get x
100/1.2496815286624=x
80.020387359837=x
x=80.020387359837

now we have:
7.85 is 80.020387359837% of 9.81