504.8 is what percent of 1606.7 - 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 1606.7 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 1606.7, so we can write it down as 100%=1606.7.
4. We know, that x% equals 504.8 of the output value, so we can write it down as x%=504.8.
5. Now we have two simple equations:
1) 100%=1606.7
2) x%=504.8
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%=1606.7/504.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 504.8 is what percent of 1606.7

100%/x%=1606.7/504.8
(100/x)*x=(1606.7/504.8)*x       - we multiply both sides of the equation by x
100=3.1828446909667*x       - we divide both sides of the equation by (3.1828446909667) to get x
100/3.1828446909667=x
31.418435302172=x
x=31.418435302172

now we have:
504.8 is 31.418435302172% of 1606.7