15.74 is what percent of 52.48 - 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 52.48 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 52.48, so we can write it down as 100%=52.48.
4. We know, that x% equals 15.74 of the output value, so we can write it down as x%=15.74.
5. Now we have two simple equations:
1) 100%=52.48
2) x%=15.74
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%=52.48/15.74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 15.74 is what percent of 52.48

100%/x%=52.48/15.74
(100/x)*x=(52.48/15.74)*x       - we multiply both sides of the equation by x
100=3.3341804320203*x       - we divide both sides of the equation by (3.3341804320203) to get x
100/3.3341804320203=x
29.99237804878=x
x=29.99237804878

now we have:
15.74 is 29.99237804878% of 52.48