204.56 is what percent of 889.46 - 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 889.46 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 889.46, so we can write it down as 100%=889.46.
4. We know, that x% equals 204.56 of the output value, so we can write it down as x%=204.56.
5. Now we have two simple equations:
1) 100%=889.46
2) x%=204.56
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%=889.46/204.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 204.56 is what percent of 889.46

100%/x%=889.46/204.56
(100/x)*x=(889.46/204.56)*x       - we multiply both sides of the equation by x
100=4.3481619084865*x       - we divide both sides of the equation by (4.3481619084865) to get x
100/4.3481619084865=x
22.99822364131=x
x=22.99822364131

now we have:
204.56 is 22.99822364131% of 889.46