14.75 is what percent of 199.25 - 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 199.25 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 199.25, so we can write it down as 100%=199.25.
4. We know, that x% equals 14.75 of the output value, so we can write it down as x%=14.75.
5. Now we have two simple equations:
1) 100%=199.25
2) x%=14.75
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%=199.25/14.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 14.75 is what percent of 199.25

100%/x%=199.25/14.75
(100/x)*x=(199.25/14.75)*x       - we multiply both sides of the equation by x
100=13.508474576271*x       - we divide both sides of the equation by (13.508474576271) to get x
100/13.508474576271=x
7.4027603513174=x
x=7.4027603513174

now we have:
14.75 is 7.4027603513174% of 199.25