505.85 is what percent of 2765.14 - 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 2765.14 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 2765.14, so we can write it down as 100%=2765.14.
4. We know, that x% equals 505.85 of the output value, so we can write it down as x%=505.85.
5. Now we have two simple equations:
1) 100%=2765.14
2) x%=505.85
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%=2765.14/505.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 505.85 is what percent of 2765.14

100%/x%=2765.14/505.85
(100/x)*x=(2765.14/505.85)*x       - we multiply both sides of the equation by x
100=5.4663240090936*x       - we divide both sides of the equation by (5.4663240090936) to get x
100/5.4663240090936=x
18.293829607181=x
x=18.293829607181

now we have:
505.85 is 18.293829607181% of 2765.14