30 is 20 percent of what means we're trying to find the big number that 30 makes up a part of.
Imagine you have a bag of 10 cookies, and you take 2 of them. You’ve taken 2 out of 10, which is like saying you took 20 percent. Now, imagine instead of 10 cookies, we had a bigger bag, but still, 30 was the same as your 2 cookies.
So we're trying to figure out: if 30 is like 2 cookies in a big bag, how many cookies are in that whole bag?
Let’s think about it step by step:
Finding the Whole Number
If 30 makes up 20 percent of something, then each part (like one cookie) would be 30 divided by 20, which is 1.5.
Now, to find the whole number, we just multiply that single part (1.5) by 100, because there are 100 parts in a whole bag!
So:
- 1.5 × 100 = 150
That means the big number is 150! So 30 is 20 percent of 150, like taking 2 cookies from a bag of 150! 🍪
Examples
- You scored 30 points on a test which is 20% of the total score. What was the maximum score?
- A shop sells 30 items, and this number represents 20% of all items in stock. How many items are there altogether?
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See also
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- How Does The Oldest Unsolved Problem in Math Work?