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# Mathnasium #MathsTricks: Percentages

Jun 5, 2023

Welcome to Mathnasium’s Maths Tricks series. Today we are finding the percentage amount of any number.

To calculate the percentage of a number, we use the following steps:

1. Estimate the answer by rounding the number to the nearest multiple of 50 and using mental maths.
2. Convert the percent to a decimal.
3. Multiply the number by the decimal.
4. Check for reasonableness using your estimate.

Follow the example below to find the percentage.

##### Example: It takes Larissa 363 total minutes to get from her house to her grandmother’s house. If 87% of this time is spent on a train, how many minutes does she spend on the train?

Step 1: Estimate the answer by rounding the number to the nearest multiple of 50.
Rounding the number 363 to the nearest multiple of 50, we get 350.
Since 87% means 87 for each 100, we estimate 87% of 350, which is equal to 304.5 minutes.

Step 2: Convert the percent to a decimal.
87% is eighty seven hundredths. To write this as a decimal, the digits in 87 all  move 2 places to the right, leaving us with 0.87.

Step 3: Multiply the number by the decimal.
Multiplying the number 363 by the decimal 0.87, we get an answer of 315.81 minutes.

Step 4: Check for reasonableness.
Our estimate was 304.5, so 315.81 is very reasonable.

Now, with this strategy, you are ready to use this Mathnasium Maths Trick to find any percentage of any number by converting the percentage to a decimal and multiplying it by the number. Click here for more practice problems, then check your answers here.

If you missed this, or any of our other Maths Tricks videos, check them out on our YouTube channel!

Do you have a maths trick you want to see? Submit your request at: https://bit.ly/MathnasiumMathTricks.

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