5.19 is what percent of 17.82 - 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 17.82 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 17.82, so we can write it down as 100%=17.82.
4. We know, that x% equals 5.19 of the output value, so we can write it down as x%=5.19.
5. Now we have two simple equations:
1) 100%=17.82
2) x%=5.19
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%=17.82/5.19
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.19 is what percent of 17.82

100%/x%=17.82/5.19
(100/x)*x=(17.82/5.19)*x       - we multiply both sides of the equation by x
100=3.4335260115607*x       - we divide both sides of the equation by (3.4335260115607) to get x
100/3.4335260115607=x
29.124579124579=x
x=29.124579124579

now we have:
5.19 is 29.124579124579% of 17.82