1.5 is what percent of 4.66 - 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 4.66 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 4.66, so we can write it down as 100%=4.66.
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%=4.66
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%=4.66/1.5
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 4.66

100%/x%=4.66/1.5
(100/x)*x=(4.66/1.5)*x       - we multiply both sides of the equation by x
100=3.1066666666667*x       - we divide both sides of the equation by (3.1066666666667) to get x
100/3.1066666666667=x
32.188841201717=x
x=32.188841201717

now we have:
1.5 is 32.188841201717% of 4.66