580.45 is what percent of 2492.42 - 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 2492.42 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 2492.42, so we can write it down as 100%=2492.42.
4. We know, that x% equals 580.45 of the output value, so we can write it down as x%=580.45.
5. Now we have two simple equations:
1) 100%=2492.42
2) x%=580.45
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%=2492.42/580.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 580.45 is what percent of 2492.42

100%/x%=2492.42/580.45
(100/x)*x=(2492.42/580.45)*x       - we multiply both sides of the equation by x
100=4.2939443535188*x       - we divide both sides of the equation by (4.2939443535188) to get x
100/4.2939443535188=x
23.28861106876=x
x=23.28861106876

now we have:
580.45 is 23.28861106876% of 2492.42