72 is 60 percent of 120. Here’s the simple method to find 60 of 120 step-by-step.
Step 1: Understand Percentages
“Percent” means “per hundred.” So, 60 percent (or 60%) means 60 out of every 100. This can also be written as 60/100.
Step 2: Convert 60% to a Decimal
To make the calculation easier, convert the percentage to a decimal. To do this, divide 60 by 100.
\[ 60 ÷ 100 = 0.60 \]
Step 3: Multiply by the Total
Now, multiply 0.60 by 120.
\[ 0.60 \times 120 = 72 \]
So, 60 percent of 120 is 72.
Let’s look at it in simpler terms. If you have 120 items and you want to find what 60 percent of those items would be, you do this:
- Divide the percentage (60) by 100 to get a decimal.
- Multiply that decimal by the total number (120).
This gives you the answer: 72.
Why Multiply?
When you convert a percentage to a decimal, you are making it easier to use in multiplication. Multiplying the decimal by the total gives you the portion of that total.
Real-life Example
Imagine you have 120 apples. You want to know how many apples are 60 percent of the total. You can use the same steps:
- Convert 60% to a decimal:
\[ 60 ÷ 100 = 0.60 \]
- Multiply by the total apples:
\[ 0.60 \times 120 = 72 \]
So, 72 apples are 60 percent of 120 apples.
Simplifying Further
If you still find it hard, think about it in smaller steps. First, find 10% of 120.
\[ 120 ÷ 10 = 12 \]
Now, you need 60%, which is six times 10%. So, multiply by 6:
\[ 12 \times 6 = 72 \]
Again, the answer is 72.
Another Method: Fractions
You can also use fractions to find 60 percent of 120. Since percent means per hundred, you can write 60 percent as:
\[ \frac{60}{100} \]
Now, multiply this fraction by 120:
\[ \frac{60}{100} \times 120 \]
First, simplify the fraction:
\[ \frac{60}{100} = \frac{3}{5} \]
Now,
\[ \frac{3}{5} \times 120 = 72 \]
Once more, the answer is 72.
Verification
To verify, you can reverse the operation. If 72 is 60% of 120, then dividing 72 by 120 and multiplying by 100 should give you 60.
\[ \frac{72}{120} \times 100 = 60 \]
Hence, our calculation is accurate.
Recap
- Convert 60% to a decimal (0.60).
- Multiply by the total (120).
- Result is 72.
This is how you find 60 of 120. You can use this method for any similar problem. Just change the numbers and follow the same steps.
Understanding this basic math concept helps you in everyday life. Whether you are shopping, cooking, or doing any other task involving numbers, knowing how to calculate percentages quickly and easily is very useful.
