0.99 is what percent of 14.14 - 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 14.14 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 14.14, so we can write it down as 100%=14.14.
4. We know, that x% equals 0.99 of the output value, so we can write it down as x%=0.99.
5. Now we have two simple equations:
1) 100%=14.14
2) x%=0.99
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%=14.14/0.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.99 is what percent of 14.14

100%/x%=14.14/0.99
(100/x)*x=(14.14/0.99)*x       - we multiply both sides of the equation by x
100=14.282828282828*x       - we divide both sides of the equation by (14.282828282828) to get x
100/14.282828282828=x
7.001414427157=x
x=7.001414427157

now we have:
0.99 is 7.001414427157% of 14.14