Solved: 162 is 108 Percent of What Number? = 150

Step by step solution for calculating 162 is 108 percent of what number

We already have our first value 162 and the second value 108. Let's assume the unknown value is Y which answer we will find out.

As we have all the required values we need, Now we can put them in a simple mathematical formula as below:

STEP 1162 = 108% × Y

STEP 2162 = 108/100× Y

Multiplying both sides by 100 and dividing both sides of the equation by 108 we will arrive at:

STEP 3Y = 162 × 100/108

STEP 4Y = 162 × 100 ÷ 108

STEP 5Y = 150

Finally, we have found the value of Y which is 150 and that is our answer.

You can easily calculate 162 is 108 percent of what number by using any regular calculator, simply enter 162 × 100 ÷ 108 and you will get your answer which is 150

Sample questions, answers, and how to

Question: Your friend has a bag of marbles, and he tells you that 108 percent of the marbles are red. If there are 162 red marbles. How many marbles does he have altogether?

Answer: 150 marbles.

How To: In this problem, we know that the Percent is 108, and we are also told that the Part of the marbles is red, so we know that the Part is 162.

So, that means that it must be the Total that's missing. Here is the way to figure out what the Total is:

Part/Total = Percent/100

By using a simple algebra we can re-arrange our Percent equation like this:

Part × 100/Percent = Total

If we take the "Part" and multiply it by 100, and then we divide that by the "Percent", we will get the "Total".

Let's try it out on our problem about the marbles, that's very simple and it's just two steps! We know that the "Part" (red marbles) is 162.

So step one is to just multiply that Part by 100.

162 × 100 = 16200

In step two, we take that 16200 and divide it by the "Percent", which we are told is 108.

So, 16200 divided by 108 = 150

And that means that the total number of marbles is 150.

Question: A high school marching band has 162 flute players, If 108 percent of the band members play the flute, then how many members are in the band?

Answer: There are 150 members in the band.

How To: The smaller "Part" in this problem is 162 since there are 162 flute players and we are told that they make up 108 percent of the band, so the "Percent" is 108.

Again, it's the "Total" that's missing here, and to find it, we just need to follow our 2 step procedure as the previous problem.

For step one, we multiply the "Part" by 100.

162 × 100 = 16200

For step two, we divide that 16200 by the "Percent", which is 108.

16200 divided by 108 equals 150

That means that the total number of band members is 150.

Another step by step method

Step 1: Let's assume the unknown value is Y

Step 2: First writing it as: 100% / Y = 108% / 162

Step 3: Drop the percentage marks to simplify your calculations: 100 / Y = 108 / 162

Step 4: Multiply both sides by Y to move Y on the right side of the equation: 100 = ( 108 / 162 ) Y

Step 5: Simplifying the right side, we get: 100 = 108 Y

Step 6: Dividing both sides of the equation by 108, we will arrive at 150 = Y

This leaves us with our final answer: 162 is 108 percent of 150

Question: 162 is 108 percent of what number?

Answer: 150

Step by step solution for calculating 162 is 108 percent of what number

Sample questions, answers, and how to

Another step by step method

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