204.6 is what percent of 323.3 - 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 323.3 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 323.3, so we can write it down as 100%=323.3.
4. We know, that x% equals 204.6 of the output value, so we can write it down as x%=204.6.
5. Now we have two simple equations:
1) 100%=323.3
2) x%=204.6
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%=323.3/204.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 204.6 is what percent of 323.3

100%/x%=323.3/204.6
(100/x)*x=(323.3/204.6)*x       - we multiply both sides of the equation by x
100=1.580156402737*x       - we divide both sides of the equation by (1.580156402737) to get x
100/1.580156402737=x
63.284874729354=x
x=63.284874729354

now we have:
204.6 is 63.284874729354% of 323.3