Step by step solution because that calculating 22 is 40 percent of what number

We already have our an initial value 22 and the second value 40. Let"s assume the unknown value is Y i beg your pardon answer we will discover out.

You are watching: 55 of what number is 22

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

STEP 122 = 40% × Y

STEP 222 = 40/100× Y

Multiplying both sides by 100 and dividing both political parties of the equation through 40 we will arrive at:

STEP 3Y = 22 × 100/40

STEP 4Y = 22 × 100 ÷ 40

STEP 5Y = 55

Finally, we have found the worth of Y which is 55 and also that is our answer.

You can quickly calculate 22 is 40 percent that what number by using any type of regular calculator, simply get in 22 × 100 ÷ 40 and also you will acquire your answer i m sorry is 55


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Sample questions, answers, and also how to

Question: her friend has actually a bag the marbles, and also he tells you that 40 percent of the marbles are red. If there are 22 red marbles. How many marbles go he have actually altogether?

Answer: 55 marbles.

How To: In this problem, we understand that the Percent is 40, and we are likewise told that the part of the marbles is red, for this reason we understand that the part is 22.

So, that way that it must be the full that"s missing. Right here is the way to figure out what the complete is:

Part/Total = Percent/100

By using a simple algebra we have the right to re-arrange our Percent equation like this:

Part × 100/Percent = Total

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

Let"s shot it the end on ours problem about the marbles, that"s very simple and it"s just two steps! We know that the "Part" (red marbles) is 22.

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

22 × 100 = 2200

In action two, us take the 2200 and divide the by the "Percent", i m sorry we space told is 40.

So, 2200 separated by 40 = 55

And that way that the total variety of marbles is 55.

Question: A high institution marching band has 22 flute players, If 40 percent the the tape members play the flute, climate how many members space in the band?

Answer: There room 55 members in the band.

How To: The smaller sized "Part" in this difficulty is 22 due to the fact that there are 22 flute players and we space told that they make up 40 percent of the band, therefore the "Percent" is 40.

Again, it"s the "Total" that"s lacking here, and also to find it, we just need to monitor our 2 step procedure as the vault problem.

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

22 × 100 = 2200

For step two, we divide that 2200 through the "Percent", i m sorry is 40.

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2200 split by 40 equates to 55

That method that the total number of band members is 55.

Another step by step method

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

Step 2: first writing the as: 100% / Y = 40% / 22

Step 3: drop the percentage marks to simplify your calculations: 100 / Y = 40 / 22

Step 4: main point both political parties by Y to move Y ~ above the best side of the equation: 100 = ( 40 / 22 ) Y

Step 5: simple the ideal side, us get: 100 = 40 Y

Step 6: dividing both political parties of the equation by 40, we will certainly arrive at 55 = Y

This leaves us v our final answer: 22 is 40 percent the 55


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