1.5 is what percent of 9.49 - 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 9.49 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 9.49, so we can write it down as 100%=9.49.
4. We know, that x% equals 1.5 of the output value, so we can write it down as x%=1.5.
5. Now we have two simple equations:
1) 100%=9.49
2) x%=1.5
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%=9.49/1.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.5 is what percent of 9.49

100%/x%=9.49/1.5
(100/x)*x=(9.49/1.5)*x       - we multiply both sides of the equation by x
100=6.3266666666667*x       - we divide both sides of the equation by (6.3266666666667) to get x
100/6.3266666666667=x
15.806111696523=x
x=15.806111696523

now we have:
1.5 is 15.806111696523% of 9.49