## Step by step solution for calculating 22 is 40 percent that what number

We already have our first value **22** and the 2nd value **40**. Let"s assume the unknown value is **Y** i m sorry answer we will discover out.

You are watching: 22 is what percent of 40

As we have all the compelled values us need, now we can put castle in a an easy mathematical formula together below:

STEP 122 = 40% × Y

STEP 222 = 40/100× Y

Multiplying both political parties by 100 and also dividing both sides 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 i m sorry is 55 and that is our answer.

You can easily calculate **22 is 40 percent of what number** through using any kind of regular calculator, simply go into **22 × 100 ÷ 40** and also you will gain your answer i beg your pardon is **55**

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## Sample questions, answers, and also how to

**Question:** your friend has actually a bag the marbles, and also he speak you the 40 percent the the marbles are red. If there room 22 red marbles. How plenty of marbles does he have altogether?

**Answer:** 55 marbles.

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

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

Part/Total = Percent/100

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

Part × 100/Percent = Total

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

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

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

22 × 100 = 2200

In step two, we take the 2200 and divide it by the "Percent", which we are told is 40.

So, 2200 split by 40 = 55

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

**Question:** A high school marching band has actually 22 flute players, If 40 percent the the tape members pat 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 space 22 flute players and also we space told the they comprise 40 percent that the band, so the "Percent" is 40.

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

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

22 × 100 = 2200

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

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2200 separated by 40 equals 55

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

## Another action by step method

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

**Step 2:** an initial writing it as: **100% / Y = 40% / 22**

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

**Step 4:** main point both political parties by Y to move Y top top the ideal side the the equation: **100 = ( 40 / 22 ) Y**

**Step 5:** simplifying the best side, we get: **100 = 40 Y**

**Step 6:** dividing both sides of the equation by 40, we will certainly arrive in ~ **55 = Y**

This leaves us v our last answer: **22 is 40 percent of 55**

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