14.75 is what percent of 971.5 - 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 971.5 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 971.5, so we can write it down as 100%=971.5.
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%=971.5
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%=971.5/14.75
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 971.5

100%/x%=971.5/14.75
(100/x)*x=(971.5/14.75)*x       - we multiply both sides of the equation by x
100=65.864406779661*x       - we divide both sides of the equation by (65.864406779661) to get x
100/65.864406779661=x
1.5182707153886=x
x=1.5182707153886

now we have:
14.75 is 1.5182707153886% of 971.5