364.56 is what percent of 2254.56 - 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 2254.56 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 2254.56, so we can write it down as 100%=2254.56.
4. We know, that x% equals 364.56 of the output value, so we can write it down as x%=364.56.
5. Now we have two simple equations:
1) 100%=2254.56
2) x%=364.56
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%=2254.56/364.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 364.56 is what percent of 2254.56

100%/x%=2254.56/364.56
(100/x)*x=(2254.56/364.56)*x       - we multiply both sides of the equation by x
100=6.184331797235*x       - we divide both sides of the equation by (6.184331797235) to get x
100/6.184331797235=x
16.169895678092=x
x=16.169895678092

now we have:
364.56 is 16.169895678092% of 2254.56