Step by action solution for calculating 11 is 22 percent the what number

We currently have our an initial value 11 and the second value 22. Let"s assume the unknown worth is Y i m sorry answer us will uncover out.

You are watching: 11 is 22 of what number

As we have all the required values we need, currently we deserve to put them in a an easy mathematical formula as below:

STEP 111 = 22% × Y

STEP 211 = 22/100× Y

Multiplying both political parties by 100 and also dividing both political parties of the equation through 22 we will certainly arrive at:

STEP 3Y = 11 × 100/22

STEP 4Y = 11 × 100 ÷ 22

STEP 5Y = 50

Finally, we have uncovered the worth of Y i beg your pardon is 50 and that is ours answer.

You can conveniently calculate 11 is 22 percent of what number by using any regular calculator, simply enter 11 × 100 ÷ 22 and you will get your answer i m sorry is 50


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Sample questions, answers, and how to

Question: your friend has a bag of marbles, and also he tells you the 22 percent the the marbles are red. If there space 11 red marbles. How plenty of marbles walk he have altogether?

Answer: 50 marbles.

How To: In this problem, we understand that the Percent is 22, and also we are also told that the part of the marbles is red, therefore we recognize that the part is 11.

So, that way that it should be the total that"s missing. Right here is the method to figure out what the total is:

Part/Total = Percent/100

By using a basic algebra we deserve to re-arrange our Percent equation favor this:

Part × 100/Percent = Total

If us take the "Part" and multiply that by 100, and also then we divide that through the "Percent", we will acquire the "Total".

Let"s shot it out on our problem about the marbles, that"s very simple and it"s simply two steps! We know that the "Part" (red marbles) is 11.

So action one is to just multiply that component by 100.

11 × 100 = 1100

In step two, we take that 1100 and also divide it by the "Percent", i beg your pardon we are told is 22.

So, 1100 split by 22 = 50

And that way that the total variety of marbles is 50.

Question: A high institution marching band has actually 11 flute players, If 22 percent the the band members beat the flute, climate how numerous members space in the band?

Answer: There room 50 members in the band.

How To: The smaller sized "Part" in this difficulty is 11 since there are 11 flute players and also we room told that they make up 22 percent the the band, so the "Percent" is 22.

Again, it"s the "Total" that"s absent here, and also to find it, we simply need to monitor our 2 action procedure together the vault problem.

For action one, we multiply the "Part" through 100.

11 × 100 = 1100

For step two, we divide that 1100 through the "Percent", i m sorry is 22.

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1100 divided by 22 equates to 50

That method that the total number of band members is 50.

Another action by action method

Step 1: Let"s i think the unknown value is Y

Step 2: an initial writing the as: 100% / Y = 22% / 11

Step 3: autumn the percentage marks to simplify your calculations: 100 / Y = 22 / 11

Step 4: main point both political parties by Y to move Y ~ above the appropriate side the the equation: 100 = ( 22 / 11 ) Y

Step 5: simplifying the appropriate side, us get: 100 = 22 Y

Step 6: separating both sides of the equation by 22, we will certainly arrive at 50 = Y

This leaves us through our last answer: 11 is 22 percent the 50


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