25 is what percent of 2473 - 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 2473 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 2473, so we can write it down as 100%=2473.
4. We know, that x% equals 25 of the output value, so we can write it down as x%=25.
5. Now we have two simple equations:
1) 100%=2473
2) x%=25
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%=2473/25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 25 is what percent of 2473

100%/x%=2473/25
(100/x)*x=(2473/25)*x       - we multiply both sides of the equation by x
100=98.92*x       - we divide both sides of the equation by (98.92) to get x
100/98.92=x
1.0109179134654=x
x=1.0109179134654

now we have:
25 is 1.0109179134654% of 2473