Solved: 23 is 21.101 Percent of What Number? = 109

Step by step solution for calculating 23 is 21.101 percent of what number

We already have our first value 23 and the second value 21.101. 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 123 = 21.101% × Y

STEP 223 = 21.101/100× Y

Multiplying both sides by 100 and dividing both sides of the equation by 21.101 we will arrive at:

STEP 3Y = 23 × 100/21.101

STEP 4Y = 23 × 100 ÷ 21.101

STEP 5Y = 109

Finally, we have found the value of Y which is 109 and that is our answer.

You can easily calculate 23 is 21.101 percent of what number by using any regular calculator, simply enter 23 × 100 ÷ 21.101 and you will get your answer which is 109

Sample questions, answers, and how to

Question: Your friend has a bag of marbles, and he tells you that 21.101 percent of the marbles are red. If there are 23 red marbles. How many marbles does he have altogether?

Answer: 109 marbles.

How To: In this problem, we know that the Percent is 21.101, and we are also told that the Part of the marbles is red, so we know that the Part is 23.

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 23.

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

23 × 100 = 2300

In step two, we take that 2300 and divide it by the "Percent", which we are told is 21.101.

So, 2300 divided by 21.101 = 109

And that means that the total number of marbles is 109.

Question: A high school marching band has 23 flute players, If 21.101 percent of the band members play the flute, then how many members are in the band?

Answer: There are 109 members in the band.

How To: The smaller "Part" in this problem is 23 since there are 23 flute players and we are told that they make up 21.101 percent of the band, so the "Percent" is 21.101.

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.

23 × 100 = 2300

For step two, we divide that 2300 by the "Percent", which is 21.101.

2300 divided by 21.101 equals 109

That means that the total number of band members is 109.

Another step by step method

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

Step 2: First writing it as: 100% / Y = 21.101% / 23

Step 3: Drop the percentage marks to simplify your calculations: 100 / Y = 21.101 / 23

Step 4: Multiply both sides by Y to move Y on the right side of the equation: 100 = ( 21.101 / 23 ) Y

Step 5: Simplifying the right side, we get: 100 = 21.101 Y

Step 6: Dividing both sides of the equation by 21.101, we will arrive at 109 = Y

This leaves us with our final answer: 23 is 21.101 percent of 109

Question: 23 is 21.101 percent of what number?

Answer: 109

Step by step solution for calculating 23 is 21.101 percent of what number

Sample questions, answers, and how to

Another step by step method

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