35431.46 is what percent of 48955 - 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 48955 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 48955, so we can write it down as 100%=48955.
4. We know, that x% equals 35431.46 of the output value, so we can write it down as x%=35431.46.
5. Now we have two simple equations:
1) 100%=48955
2) x%=35431.46
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%=48955/35431.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 35431.46 is what percent of 48955

100%/x%=48955/35431.46
(100/x)*x=(48955/35431.46)*x       - we multiply both sides of the equation by x
100=1.3816817032095*x       - we divide both sides of the equation by (1.3816817032095) to get x
100/1.3816817032095=x
72.37556940047=x
x=72.37556940047

now we have:
35431.46 is 72.37556940047% of 48955