Step by action solution because that calculating 110 is 22 percent that what number

We already have our very first value 110 and the 2nd value 22. Let"s i think the unknown value is Y i beg your pardon answer us will uncover out.

You are watching: 110 is 22% of what number

As we have all the compelled values us need, now we have the right to put lock in a straightforward mathematical formula as below:

STEP 1110 = 22% × Y

STEP 2110 = 22/100× Y

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

STEP 3Y = 110 × 100/22

STEP 4Y = 110 × 100 ÷ 22

STEP 5Y = 500

Finally, we have uncovered the worth of Y i m sorry is 500 and also that is our answer.

You can conveniently calculate 110 is 22 percent the what number through using any kind of regular calculator, simply get in 110 × 100 ÷ 22 and also you will acquire your answer which is 500


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Sample questions, answers, and how to

Question: your friend has a bag of marbles, and he speak you the 22 percent of the marbles room red. If there are 110 red marbles. How plenty of marbles does he have altogether?

Answer: 500 marbles.

How To: In this problem, we understand that the Percent is 22, and we are also told the the component of the marbles is red, so we recognize that the part is 110.

So, that means that it have to be the full that"s missing. Right here is the way to number out what the full is:

Part/Total = Percent/100

By making use of a an easy algebra we deserve to re-arrange ours Percent equation prefer this:

Part × 100/Percent = Total

If we take the "Part" and also multiply it by 100, and then we division that by the "Percent", we will acquire the "Total".

Let"s try it out on our problem around the marbles, that"s very straightforward and it"s simply two steps! We know that the "Part" (red marbles) is 110.

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

110 × 100 = 11000

In step two, us take the 11000 and divide that by the "Percent", i m sorry we room told is 22.

So, 11000 divided by 22 = 500

And that method that the total variety of marbles is 500.

Question: A high school marching band has actually 110 flute players, If 22 percent the the band members beat the flute, then how numerous members space in the band?

Answer: There space 500 members in the band.

How To: The smaller sized "Part" in this trouble is 110 due to the fact that there space 110 flute players and also we room told that they comprise 22 percent of the band, so the "Percent" is 22.

Again, it"s the "Total" that"s lacking here, and also to uncover it, we simply need to follow our 2 action procedure as the vault problem.

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

110 × 100 = 11000

For step two, we divide that 11000 through the "Percent", i m sorry is 22.

See more: To Group Together Based On Similar Traits After All, Captcha Challenge&Hellip

11000 divided by 22 equals 500

That method that the total number of band members is 500.

Another step by step method

Step 1: Let"s assume the unknown worth is Y

Step 2: first writing the as: 100% / Y = 22% / 110

Step 3: autumn the percentage marks to simplify your calculations: 100 / Y = 22 / 110

Step 4: multiply both political parties by Y to move Y on the right side the the equation: 100 = ( 22 / 110 ) Y

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

Step 6: dividing both sides of the equation through 22, we will arrive at 500 = Y

This leaves us with our final answer: 110 is 22 percent of 500


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