105.72 is what percent of 3.2 - 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 3.2 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 3.2, so we can write it down as 100%=3.2.
4. We know, that x% equals 105.72 of the output value, so we can write it down as x%=105.72.
5. Now we have two simple equations:
1) 100%=3.2
2) x%=105.72
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%=3.2/105.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 105.72 is what percent of 3.2

100%/x%=3.2/105.72
(100/x)*x=(3.2/105.72)*x       - we multiply both sides of the equation by x
100=0.030268634127885*x       - we divide both sides of the equation by (0.030268634127885) to get x
100/0.030268634127885=x
3303.75=x
x=3303.75

now we have:
105.72 is 3303.75% of 3.2