14.75 is what percent of 537.5 - 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 537.5 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 537.5, so we can write it down as 100%=537.5.
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%=537.5
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%=537.5/14.75
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 537.5

100%/x%=537.5/14.75
(100/x)*x=(537.5/14.75)*x       - we multiply both sides of the equation by x
100=36.440677966102*x       - we divide both sides of the equation by (36.440677966102) to get x
100/36.440677966102=x
2.7441860465116=x
x=2.7441860465116

now we have:
14.75 is 2.7441860465116% of 537.5