14.56 is what percent of 14.98 - 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 14.98 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 14.98, so we can write it down as 100%=14.98.
4. We know, that x% equals 14.56 of the output value, so we can write it down as x%=14.56.
5. Now we have two simple equations:
1) 100%=14.98
2) x%=14.56
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%=14.98/14.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 14.56 is what percent of 14.98

100%/x%=14.98/14.56
(100/x)*x=(14.98/14.56)*x       - we multiply both sides of the equation by x
100=1.0288461538462*x       - we divide both sides of the equation by (1.0288461538462) to get x
100/1.0288461538462=x
97.196261682243=x
x=97.196261682243

now we have:
14.56 is 97.196261682243% of 14.98