9.92 is what percent of 13.99 - 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 13.99 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 13.99, so we can write it down as 100%=13.99.
4. We know, that x% equals 9.92 of the output value, so we can write it down as x%=9.92.
5. Now we have two simple equations:
1) 100%=13.99
2) x%=9.92
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%=13.99/9.92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.92 is what percent of 13.99

100%/x%=13.99/9.92
(100/x)*x=(13.99/9.92)*x       - we multiply both sides of the equation by x
100=1.4102822580645*x       - we divide both sides of the equation by (1.4102822580645) to get x
100/1.4102822580645=x
70.907791279485=x
x=70.907791279485

now we have:
9.92 is 70.907791279485% of 13.99