2 is what percent of 52.25 - 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 52.25 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 52.25, so we can write it down as 100%=52.25.
4. We know, that x% equals 2 of the output value, so we can write it down as x%=2.
5. Now we have two simple equations:
1) 100%=52.25
2) x%=2
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%=52.25/2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2 is what percent of 52.25

100%/x%=52.25/2
(100/x)*x=(52.25/2)*x       - we multiply both sides of the equation by x
100=26.125*x       - we divide both sides of the equation by (26.125) to get x
100/26.125=x
3.8277511961722=x
x=3.8277511961722

now we have:
2 is 3.8277511961722% of 52.25