42.28 is what percent of 1.309 - 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 1.309 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 1.309, so we can write it down as 100%=1.309.
4. We know, that x% equals 42.28 of the output value, so we can write it down as x%=42.28.
5. Now we have two simple equations:
1) 100%=1.309
2) x%=42.28
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%=1.309/42.28
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42.28 is what percent of 1.309

100%/x%=1.309/42.28
(100/x)*x=(1.309/42.28)*x       - we multiply both sides of the equation by x
100=0.030960264900662*x       - we divide both sides of the equation by (0.030960264900662) to get x
100/0.030960264900662=x
3229.9465240642=x
x=3229.9465240642

now we have:
42.28 is 3229.9465240642% of 1.309