19.43 is what percent of 254 - 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 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, so we can write it down as 100%=254.
4. We know, that x% equals 19.43 of the output value, so we can write it down as x%=19.43.
5. Now we have two simple equations:
1) 100%=254
2) x%=19.43
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%=254/19.43
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 19.43 is what percent of 254

100%/x%=254/19.43
(100/x)*x=(254/19.43)*x       - we multiply both sides of the equation by x
100=13.072568193515*x       - we divide both sides of the equation by (13.072568193515) to get x
100/13.072568193515=x
7.6496062992126=x
x=7.6496062992126

now we have:
19.43 is 7.6496062992126% of 254