31.14 is what percent of 67.63 - 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 67.63 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 67.63, so we can write it down as 100%=67.63.
4. We know, that x% equals 31.14 of the output value, so we can write it down as x%=31.14.
5. Now we have two simple equations:
1) 100%=67.63
2) x%=31.14
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%=67.63/31.14
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 31.14 is what percent of 67.63

100%/x%=67.63/31.14
(100/x)*x=(67.63/31.14)*x       - we multiply both sides of the equation by x
100=2.1718047527296*x       - we divide both sides of the equation by (2.1718047527296) to get x
100/2.1718047527296=x
46.044654739021=x
x=46.044654739021

now we have:
31.14 is 46.044654739021% of 67.63