Solved: What Percent of 160 is 120? = 75 Percent

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Calculation of What percent of 160 is 120:

(120 / 160) * 100 =

0.75 * 100 =

75%

Now we have the answer: 75 percent of 160 is 120.

Mathematical Notation: (120 / 160) * 100 = 0.75 * 100 = 75%

Formula we can use to solve our problem:

Formula: (Y/X) × 100

Let's use the example of "What percent of 160 is 120" to understand the calculation:

= 120/160 × 100 = 75%

Check our "What Percent of X is Y" Calculator for more methods and formulas

Solution for "What percent of 160 is 120" with Step-by-step guide:

Step 1: Define the unknown percentage
Let 'P' be the unknown percentage we are trying to find.

Step 2: Set up the equation
To calculate the percentage, we set up the equation:
P percent * 160 = 120

Step 3: Isolate the unknown percentage
Now, isolate P on one side of the equation. To do that, divide both sides of the equation by 160:
P = 120 / 160

Step 4: Perform the division
Calculate the result of the division:
P = 0.75

Step 5: Convert the decimal to a percentage
To express the result as a percentage, multiply the decimal by 100:
P = 0.75 * 100

Step 6: Calculate the final result by performing the multiplication
⇒ P = 75%

Therefore, 120 is 75 percent of 160.

I hope explanation above helps you understand how to calculate what percent of 160 is 120

Written by: Dr. Mohammad Monir Uddin

Associate Professor, Ph.D. (in Mathematics), M.Sc. (in Applied Mathematics)

Quick Tip - How Calculate what percent of 160 is 120 on calculator

If you want to use a calculator to find what percent of 160 is 120, just enter 120 ÷ 160 × 100 and you will get your answer which is 75

Frequently Asked Questions on What is 160 percent of 120

What percent of 160 is 120?

75 percent is 160 of 120.

How to calculate what percent of 160 is 120?

(120 / 160) * 100 = 0.75 * 100 = 75%

120 is what percent of 160?

75%

Sample questions and answers

Question: At a high school 160 percent of seniors went on a mission trip. There were 120 seniors. How many seniors went on the trip?

Answer: 75 seniors went on the trip.

Question: 160 percent of the children in kindergarten like Thomas the Train. If there are 120 kids in kindergarten, how many of them like Thomas?

Answer: 75 kids like Thomas the Train.

Question: Your uncle had 160 shares of his own company a few years earlier, and now he has 120 of them. What percent of the shares of his company he has now?

Answer: He has 75 percent of shares of his company now.

How To: The key words in this problem are "What Percent" because they let us know that it's the Percent that is missing. So the two numbers that it gives us must be the "Total" and the "Part" we have.

Part/Total = Percent

In this case, it's the Total that our uncle owned. So we put 160 on the bottom of the fraction and 120 on top. Now we're ready to figure out the part we don't know; the Percent.

120/160 = Percent

To find the percent, all we need to do is convert the fraction into its percent form by multiplying both top and bottom part by 100 and here is the way to figure out what the Percent is:

120/160 × 100/100 = 75/100

75 = Percent

And that means he has 75 percent of the shares of his company now.

What percent of 160 is 120?

Answer: 75 percent. We can also say that 75% of 160 is 120.