So, what percent of 80 is 50? This is a classic percentage problem. We’ll solve it by figuring out what fraction 50 is of 80, and then turning that fraction into a percentage.
Expressing 50 as a Fraction of 80
The first step is to express the relationship between 50 and 80 as a fraction. Think of it as 50 being a part of 80.
Forming the Fraction
You’d write that relationship as 50/80, or 50 ÷ 80.
Simplifying the Fraction (Optional)
If you want to simplify the fraction, you can do that, too. In this case, 50/80 simplifies to 5/8.
It’s not strictly necessary to simplify the fraction before you convert it to a percentage, but simplifying sometimes makes the math a little easier.
Converting the Fraction to a Percentage
Now that we’ve got our fraction, 50/80 (which can be simplified to 5/8), let’s turn it into a percentage.
To convert a fraction to a percentage, we multiply it by 100 and then add the percent sign (%). So, the equation looks like this:
(50/80) 100
When we do the math, we find that:
(50/80) 100 = 62.5
Therefore, 50 is 62.5% of 80. And now you know!
To Conclude
So, 50 is 62.5% of 80.
We figured that out by expressing the relationship between 50 and 80 as a fraction. Then, we converted that fraction into a percentage by multiplying by 100.
Understanding percentages is helpful in all kinds of everyday situations, from calculating discounts to figuring out tips.