What is 42 Percent of 85?

What is 42 percent of 85?

Answer: 42 percent of 85 is 35.7. Alternatively, we can say that 35.7 is equivalent to 42% of 85.

Solution for What is 42 percent of 85:

n = 42 percent of 85

n = 42 % * 85

n = \frac{42}{100} * 85

n = \frac{42 * 85}{100}

n = \frac{3570}{100}

n = 35.7

Now we have 42% of 85 = 35.7. Alternatively, we can express it as 42 percent of 85 equals 35.7.

The step-by-step process for finding what is 42 percent of 85:

The mathematical calculation of 42% of 85 can be broken down as follows:

42 percent * 85
Convert this into an equation: (42 / 100) * 85
Simplify the equation further: (42 * 85) / 100
Carry out the calculation: 3570 / 100
The final answer is: 35.7

Thus, we conclude that 42% of 85 is 35.7.

Explanation for What is 42% of 85:

Step 1: **42 percent * 85**

Think of percent as parts out of 100. So, when we say 42 percent, it's like having 42 parts out of a total of 100. What we want to do now is find out what those 42 parts would be if our total was 85 instead of 100.

Step 2: **(42 / 100) * 85**

This is like dividing our 42 parts into 100. It's as if we have 100 pieces of candy and we only want 42 of those pieces. That gives us 0.42 or 42 hundredths. Now we multiply those 42 parts (or 0.42) by 85 to find out what 42% of 85 would be.

Step 3: **(42 * 85) / 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 42 (our 42 parts) by 85 (our total amount), and then we divide that by 100.

Step 4: 3570 / 100

The previous step gave us 3570. 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 85. That's why we divide 3570 by 100.

Step 5: 35.7

Finally, after dividing 3570 by 100, we arrive at the answer: 35.7. Hence, we can definitively say that 42% of 85 equals 35.7.

This guide aims to simplify the understanding of percentage calculations, focusing on the question "What is 42% of 85?" Keep practicing with different numbers to hone your skills in percentage calculations. We hope this helps you in your quest for better mathematical understanding.