33538.75 is what percent of 48273.5 - 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 48273.5 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 48273.5, so we can write it down as 100%=48273.5.
4. We know, that x% equals 33538.75 of the output value, so we can write it down as x%=33538.75.
5. Now we have two simple equations:
1) 100%=48273.5
2) x%=33538.75
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%=48273.5/33538.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 33538.75 is what percent of 48273.5

100%/x%=48273.5/33538.75
(100/x)*x=(48273.5/33538.75)*x       - we multiply both sides of the equation by x
100=1.4393350974619*x       - we divide both sides of the equation by (1.4393350974619) to get x
100/1.4393350974619=x
69.476524387086=x
x=69.476524387086

now we have:
33538.75 is 69.476524387086% of 48273.5