24.9 is what percent of 25.1 - 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 25.1 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 25.1, so we can write it down as 100%=25.1.
4. We know, that x% equals 24.9 of the output value, so we can write it down as x%=24.9.
5. Now we have two simple equations:
1) 100%=25.1
2) x%=24.9
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%=25.1/24.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 24.9 is what percent of 25.1

100%/x%=25.1/24.9
(100/x)*x=(25.1/24.9)*x       - we multiply both sides of the equation by x
100=1.0080321285141*x       - we divide both sides of the equation by (1.0080321285141) to get x
100/1.0080321285141=x
99.203187250996=x
x=99.203187250996

now we have:
24.9 is 99.203187250996% of 25.1