25 is what percent of 2.458 - 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 2.458 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 2.458, so we can write it down as 100%=2.458.
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%=2.458
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%=2.458/25
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 2.458

100%/x%=2.458/25
(100/x)*x=(2.458/25)*x       - we multiply both sides of the equation by x
100=0.09832*x       - we divide both sides of the equation by (0.09832) to get x
100/0.09832=x
1017.0870626526=x
x=1017.0870626526

now we have:
25 is 1017.0870626526% of 2.458