43.42 is what percent of 63.897 - 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 63.897 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 63.897, so we can write it down as 100%=63.897.
4. We know, that x% equals 43.42 of the output value, so we can write it down as x%=43.42.
5. Now we have two simple equations:
1) 100%=63.897
2) x%=43.42
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%=63.897/43.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 43.42 is what percent of 63.897

100%/x%=63.897/43.42
(100/x)*x=(63.897/43.42)*x       - we multiply both sides of the equation by x
100=1.4716029479503*x       - we divide both sides of the equation by (1.4716029479503) to get x
100/1.4716029479503=x
67.953112039689=x
x=67.953112039689

now we have:
43.42 is 67.953112039689% of 63.897