14.33 is what percent of 20.26 - 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 20.26 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 20.26, so we can write it down as 100%=20.26.
4. We know, that x% equals 14.33 of the output value, so we can write it down as x%=14.33.
5. Now we have two simple equations:
1) 100%=20.26
2) x%=14.33
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%=20.26/14.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 14.33 is what percent of 20.26

100%/x%=20.26/14.33
(100/x)*x=(20.26/14.33)*x       - we multiply both sides of the equation by x
100=1.413817166783*x       - we divide both sides of the equation by (1.413817166783) to get x
100/1.413817166783=x
70.730503455084=x
x=70.730503455084

now we have:
14.33 is 70.730503455084% of 20.26