17.79 is what percent of 254.15 - 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 254.15 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 254.15, so we can write it down as 100%=254.15.
4. We know, that x% equals 17.79 of the output value, so we can write it down as x%=17.79.
5. Now we have two simple equations:
1) 100%=254.15
2) x%=17.79
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%=254.15/17.79
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 17.79 is what percent of 254.15

100%/x%=254.15/17.79
(100/x)*x=(254.15/17.79)*x       - we multiply both sides of the equation by x
100=14.286115795391*x       - we divide both sides of the equation by (14.286115795391) to get x
100/14.286115795391=x
6.9998032657879=x
x=6.9998032657879

now we have:
17.79 is 6.9998032657879% of 254.15