2.5 is what percent of 51.93 - 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 51.93 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 51.93, so we can write it down as 100%=51.93.
4. We know, that x% equals 2.5 of the output value, so we can write it down as x%=2.5.
5. Now we have two simple equations:
1) 100%=51.93
2) x%=2.5
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%=51.93/2.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.5 is what percent of 51.93

100%/x%=51.93/2.5
(100/x)*x=(51.93/2.5)*x       - we multiply both sides of the equation by x
100=20.772*x       - we divide both sides of the equation by (20.772) to get x
100/20.772=x
4.8141729250915=x
x=4.8141729250915

now we have:
2.5 is 4.8141729250915% of 51.93