What is 30 Percent of 105?

What is 30 percent of 105?

Answer: 30 percent of 105 is 31.5. Alternatively, we can say that 31.5 is equivalent to 30% of 105.

Solution for What is 30 percent of 105:

n = 30 percent of 105

n = 30 % * 105

n = \frac{30}{100} * 105

n = \frac{30 * 105}{100}

n = \frac{3150}{100}

n = 31.5

Now we have 30% of 105 = 31.5. Alternatively, we can express it as 30 percent of 105 equals 31.5.

The step-by-step process for finding what is 30 percent of 105:

The mathematical calculation of 30% of 105 can be broken down as follows:

30 percent * 105
Convert this into an equation: (30 / 100) * 105
Simplify the equation further: (30 * 105) / 100
Carry out the calculation: 3150 / 100
The final answer is: 31.5

Thus, we conclude that 30% of 105 is 31.5.

Explanation for What is 30% of 105:

Step 1: **30 percent * 105**

Think of percent as parts out of 100. So, when we say 30 percent, it's like having 30 parts out of a total of 100. What we want to do now is find out what those 30 parts would be if our total was 105 instead of 100.

Step 2: **(30 / 100) * 105**

This is like dividing our 30 parts into 100. It's as if we have 100 pieces of candy and we only want 30 of those pieces. That gives us 0.30 or 30 hundredths. Now we multiply those 30 parts (or 0.30) by 105 to find out what 30% of 105 would be.

Step 3: **(30 * 105) / 100**

This is an alternative calculation. Instead of doing it in two steps like we did before, we can also do it in one step. First, we multiply 30 (our 30 parts) by 105 (our total amount), and then we divide that by 100.

Step 4: 3150 / 100

The previous step gave us 3150. But remember we were pretending our total was 100? Now we have to divide by 100 to get back to the number for our real total, which is 105. That's why we divide 3150 by 100.

Step 5: 31.5

Finally, after dividing 3150 by 100, we arrive at the answer: 31.5. Hence, we can definitively say that 30% of 105 equals 31.5.

This guide aims to simplify the understanding of percentage calculations, focusing on the question "What is 30% of 105?" Keep practicing with different numbers to hone your skills in percentage calculations. We hope this helps you in your quest for better mathematical understanding.