8.89 is what percent of 14.25 - 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 14.25 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 14.25, so we can write it down as 100%=14.25.
4. We know, that x% equals 8.89 of the output value, so we can write it down as x%=8.89.
5. Now we have two simple equations:
1) 100%=14.25
2) x%=8.89
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%=14.25/8.89
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.89 is what percent of 14.25

100%/x%=14.25/8.89
(100/x)*x=(14.25/8.89)*x       - we multiply both sides of the equation by x
100=1.6029246344207*x       - we divide both sides of the equation by (1.6029246344207) to get x
100/1.6029246344207=x
62.385964912281=x
x=62.385964912281

now we have:
8.89 is 62.385964912281% of 14.25