204.65 is what percent of 800 - 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 800 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 800, so we can write it down as 100%=800.
4. We know, that x% equals 204.65 of the output value, so we can write it down as x%=204.65.
5. Now we have two simple equations:
1) 100%=800
2) x%=204.65
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%=800/204.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 204.65 is what percent of 800

100%/x%=800/204.65
(100/x)*x=(800/204.65)*x       - we multiply both sides of the equation by x
100=3.9091131199609*x       - we divide both sides of the equation by (3.9091131199609) to get x
100/3.9091131199609=x
25.58125=x
x=25.58125

now we have:
204.65 is 25.58125% of 800