51.19 is what percent of 825.55 - 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 825.55 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 825.55, so we can write it down as 100%=825.55.
4. We know, that x% equals 51.19 of the output value, so we can write it down as x%=51.19.
5. Now we have two simple equations:
1) 100%=825.55
2) x%=51.19
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%=825.55/51.19
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 51.19 is what percent of 825.55

100%/x%=825.55/51.19
(100/x)*x=(825.55/51.19)*x       - we multiply both sides of the equation by x
100=16.12717327603*x       - we divide both sides of the equation by (16.12717327603) to get x
100/16.12717327603=x
6.2007146750651=x
x=6.2007146750651

now we have:
51.19 is 6.2007146750651% of 825.55