204.56 is what percent of 1359.49 - 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 1359.49 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 1359.49, so we can write it down as 100%=1359.49.
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%=1359.49
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%=1359.49/204.56
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 1359.49

100%/x%=1359.49/204.56
(100/x)*x=(1359.49/204.56)*x       - we multiply both sides of the equation by x
100=6.6459229565898*x       - we divide both sides of the equation by (6.6459229565898) to get x
100/6.6459229565898=x
15.046819027724=x
x=15.046819027724

now we have:
204.56 is 15.046819027724% of 1359.49