495.75 is what percent of 39475 - 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 39475 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 39475, so we can write it down as 100%=39475.
4. We know, that x% equals 495.75 of the output value, so we can write it down as x%=495.75.
5. Now we have two simple equations:
1) 100%=39475
2) x%=495.75
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%=39475/495.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 495.75 is what percent of 39475

100%/x%=39475/495.75
(100/x)*x=(39475/495.75)*x       - we multiply both sides of the equation by x
100=79.626828038326*x       - we divide both sides of the equation by (79.626828038326) to get x
100/79.626828038326=x
1.2558581380621=x
x=1.2558581380621

now we have:
495.75 is 1.2558581380621% of 39475