105.2 is what percent of 2450 - 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 2450 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 2450, so we can write it down as 100%=2450.
4. We know, that x% equals 105.2 of the output value, so we can write it down as x%=105.2.
5. Now we have two simple equations:
1) 100%=2450
2) x%=105.2
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%=2450/105.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 105.2 is what percent of 2450

100%/x%=2450/105.2
(100/x)*x=(2450/105.2)*x       - we multiply both sides of the equation by x
100=23.28897338403*x       - we divide both sides of the equation by (23.28897338403) to get x
100/23.28897338403=x
4.2938775510204=x
x=4.2938775510204

now we have:
105.2 is 4.2938775510204% of 2450