15.12 is what percent of 251.64 - 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 251.64 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 251.64, so we can write it down as 100%=251.64.
4. We know, that x% equals 15.12 of the output value, so we can write it down as x%=15.12.
5. Now we have two simple equations:
1) 100%=251.64
2) x%=15.12
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%=251.64/15.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 15.12 is what percent of 251.64

100%/x%=251.64/15.12
(100/x)*x=(251.64/15.12)*x       - we multiply both sides of the equation by x
100=16.642857142857*x       - we divide both sides of the equation by (16.642857142857) to get x
100/16.642857142857=x
6.0085836909871=x
x=6.0085836909871

now we have:
15.12 is 6.0085836909871% of 251.64