Many people have trouble finding the percentage between two numbers. This blog post will show you how to do it and common mistakes to avoid. So whether you’re a student trying to get your math homework right or an adult who wants to double-check your work, read on!
There are a few different ways How to Find the Percentage Between Two Numbers, but the most common method is to divide the first number by the second number and then multiply that result by 100. For example, if you wanted to find out what percent one number is of another, you would divide the first number by the second number. So, if x is 20% of y, that would be written as x/y=0.2. To find x when y is given, that would be written as x=(0.2)y. To find y, when x is given, that would be written as y=x/(0.2). The answer will always be 100 when finding out what percent one number is of another.
Common Mistakes
Now that we’ve gone over how to calculate the percentage between two numbers let’s talk about some common mistakes people make so you can avoid them in your own calculations.
One mistake people often make is thinking that if they want to find out what percent increase there was from one number to another, they can subtract the smaller number from the larger one and divide it by the smaller number. For example, let’s say someone started with 10 dogs and ended with 15 dogs. Using the method we just went over, we would calculate it like this: (15-10)/10=0.5. However, this would only give us the answer 50%, which is actually a 50% increase from 10 to 15 dogs, not the percentage increase from 10 dogs to 15 dogs.
To calculate the percentage increase from 10 dogs to 15 dogs using our method from earlier, we would need to divide 15 by 10 and then multiply by 100 like this: (15/10)*100=150%. So remember, when calculating percentage increase, you need to divide the end number by the start number, not vice versa!
Another mistake people make is thinking that they can just add or subtract the percentage changes from two numbers to find the overall percentage change. For example, let’s say we have two numbers, x and y, and the percentage change from x to y is 10%, and the percentage change from y to z is 20%. People often think that the overall percentage change from x to z is 10%+20%=30%, but that’s not how it works. The correct way to calculate this would be ((y/x)-1)*100+(z/y-1)*100, which would give us the answer of 30.3%.
Lastly, people sometimes get confused about what the word “of” means in math. In this context, “of” means to multiply. So, when we say “x is 20% of y,” that means x=0.2y.
Conclusion:
We hope this blog post has been helpful in showing you how to calculate the percentage between two numbers and common mistakes to avoid. When in doubt, always double-check your work against a trusted source or calculator – and happy calculating!