To find the percentage of a number between two numbers, you can use a simple formula. First, you need to determine the range, which is the difference between the two numbers. Then, you can calculate what percentage the target number sits within that range.
Here’s how you can do it in a few steps:
- Identify the two numbers: Let’s call the smaller number A and the larger number B.
- Find the range: Calculate the difference between the two numbers by subtracting A from B (i.e., B – A).
- Calculate the position of the target number: Subtract A from your target number X (i.e., X – A). This gives you the position of X within the range.
- Calculate the percentage: Divide the position of X by the range and then multiply by 100 to get the percentage:
Percentage = rac{(X – A)}{(B – A)} imes 100
Example:
Let’s say you want to find what percentage the number 30 is between 20 and 50.
- A = 20
- B = 50
- X = 30
First, find the range:
B – A = 50 – 20 = 30
Next, calculate the position of X:
X – A = 30 – 20 = 10
Now plug these values into the percentage formula:
Percentage = rac{(X – A)}{(B – A)} imes 100 = rac{10}{30} imes 100 = 33.33%
So, 30 is 33.33% of the way between 20 and 50.