1.5 is what percent of 7.809 - 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 7.809 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 7.809, so we can write it down as 100%=7.809.
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%=7.809
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%=7.809/1.5
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 7.809

100%/x%=7.809/1.5
(100/x)*x=(7.809/1.5)*x       - we multiply both sides of the equation by x
100=5.206*x       - we divide both sides of the equation by (5.206) to get x
100/5.206=x
19.208605455244=x
x=19.208605455244

now we have:
1.5 is 19.208605455244% of 7.809