19.82 is what percent of 1.35 - 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 1.35 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 1.35, so we can write it down as 100%=1.35.
4. We know, that x% equals 19.82 of the output value, so we can write it down as x%=19.82.
5. Now we have two simple equations:
1) 100%=1.35
2) x%=19.82
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%=1.35/19.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 19.82 is what percent of 1.35

100%/x%=1.35/19.82
(100/x)*x=(1.35/19.82)*x       - we multiply both sides of the equation by x
100=0.06811301715439*x       - we divide both sides of the equation by (0.06811301715439) to get x
100/0.06811301715439=x
1468.1481481481=x
x=1468.1481481481

now we have:
19.82 is 1468.1481481481% of 1.35