1.49 is what percent of 9.96 - 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 9.96 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 9.96, so we can write it down as 100%=9.96.
4. We know, that x% equals 1.49 of the output value, so we can write it down as x%=1.49.
5. Now we have two simple equations:
1) 100%=9.96
2) x%=1.49
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%=9.96/1.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.49 is what percent of 9.96

100%/x%=9.96/1.49
(100/x)*x=(9.96/1.49)*x       - we multiply both sides of the equation by x
100=6.6845637583893*x       - we divide both sides of the equation by (6.6845637583893) to get x
100/6.6845637583893=x
14.95983935743=x
x=14.95983935743

now we have:
1.49 is 14.95983935743% of 9.96