204.68 is what percent of 1693.46 - 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 1693.46 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 1693.46, so we can write it down as 100%=1693.46.
4. We know, that x% equals 204.68 of the output value, so we can write it down as x%=204.68.
5. Now we have two simple equations:
1) 100%=1693.46
2) x%=204.68
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%=1693.46/204.68
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 204.68 is what percent of 1693.46

100%/x%=1693.46/204.68
(100/x)*x=(1693.46/204.68)*x       - we multiply both sides of the equation by x
100=8.2736955247215*x       - we divide both sides of the equation by (8.2736955247215) to get x
100/8.2736955247215=x
12.086497466725=x
x=12.086497466725

now we have:
204.68 is 12.086497466725% of 1693.46