32.69 is what percent of 67.31 - 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 67.31 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 67.31, so we can write it down as 100%=67.31.
4. We know, that x% equals 32.69 of the output value, so we can write it down as x%=32.69.
5. Now we have two simple equations:
1) 100%=67.31
2) x%=32.69
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%=67.31/32.69
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 32.69 is what percent of 67.31

100%/x%=67.31/32.69
(100/x)*x=(67.31/32.69)*x       - we multiply both sides of the equation by x
100=2.0590394616091*x       - we divide both sides of the equation by (2.0590394616091) to get x
100/2.0590394616091=x
48.566334868519=x
x=48.566334868519

now we have:
32.69 is 48.566334868519% of 67.31