505.31 is what percent of 18374.78 - 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 18374.78 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 18374.78, so we can write it down as 100%=18374.78.
4. We know, that x% equals 505.31 of the output value, so we can write it down as x%=505.31.
5. Now we have two simple equations:
1) 100%=18374.78
2) x%=505.31
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%=18374.78/505.31
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 505.31 is what percent of 18374.78

100%/x%=18374.78/505.31
(100/x)*x=(18374.78/505.31)*x       - we multiply both sides of the equation by x
100=36.363380894896*x       - we divide both sides of the equation by (36.363380894896) to get x
100/36.363380894896=x
2.7500193199592=x
x=2.7500193199592

now we have:
505.31 is 2.7500193199592% of 18374.78