14.74 is what percent of 307.5 - 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 307.5 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 307.5, so we can write it down as 100%=307.5.
4. We know, that x% equals 14.74 of the output value, so we can write it down as x%=14.74.
5. Now we have two simple equations:
1) 100%=307.5
2) x%=14.74
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%=307.5/14.74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 14.74 is what percent of 307.5

100%/x%=307.5/14.74
(100/x)*x=(307.5/14.74)*x       - we multiply both sides of the equation by x
100=20.861601085482*x       - we divide both sides of the equation by (20.861601085482) to get x
100/20.861601085482=x
4.7934959349594=x
x=4.7934959349594

now we have:
14.74 is 4.7934959349594% of 307.5