15.42 is what percent of 53.15 - 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 53.15 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 53.15, so we can write it down as 100%=53.15.
4. We know, that x% equals 15.42 of the output value, so we can write it down as x%=15.42.
5. Now we have two simple equations:
1) 100%=53.15
2) x%=15.42
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%=53.15/15.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 15.42 is what percent of 53.15

100%/x%=53.15/15.42
(100/x)*x=(53.15/15.42)*x       - we multiply both sides of the equation by x
100=3.44682230869*x       - we divide both sides of the equation by (3.44682230869) to get x
100/3.44682230869=x
29.01222953904=x
x=29.01222953904

now we have:
15.42 is 29.01222953904% of 53.15