504.64 is what percent of 1972.56 - 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 1972.56 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 1972.56, so we can write it down as 100%=1972.56.
4. We know, that x% equals 504.64 of the output value, so we can write it down as x%=504.64.
5. Now we have two simple equations:
1) 100%=1972.56
2) x%=504.64
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%=1972.56/504.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 504.64 is what percent of 1972.56

100%/x%=1972.56/504.64
(100/x)*x=(1972.56/504.64)*x       - we multiply both sides of the equation by x
100=3.9088459099556*x       - we divide both sides of the equation by (3.9088459099556) to get x
100/3.9088459099556=x
25.582998742751=x
x=25.582998742751

now we have:
504.64 is 25.582998742751% of 1972.56