## Step by action solution because that calculating 55 is 40 percent of what number

We currently have our very first value **55** and the second value **40**. Let"s assume the unknown worth is **Y** i beg your pardon answer we will uncover out.

You are watching: 5500 is 55 percent of what number

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

STEP 155 = 40% × Y

STEP 255 = 40/100× Y

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

STEP 3Y = 55 × 100/40

STEP 4Y = 55 × 100 ÷ 40

STEP 5Y = 137.5

Finally, we have uncovered the worth of Y i beg your pardon is 137.5 and also that is ours answer.

You can conveniently calculate **55 is 40 percent the what number** by using any type of regular calculator, simply get in **55 × 100 ÷ 40** and also you will gain your answer i beg your pardon is **137.5**

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## Sample questions, answers, and how to

**Question:** your friend has a bag the marbles, and he speak you the 40 percent the the marbles space red. If there room 55 red marbles. How many marbles walk he have altogether?

**Answer:** 137.5 marbles.

**How To:** In this problem, we understand that the Percent is 40, and also we are additionally told that the part of the marbles is red, so we recognize that the component is 55.

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

Part/Total = Percent/100

By making use of a basic algebra we deserve to re-arrange our Percent equation prefer this:

Part × 100/Percent = Total

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

Let"s try it the end on ours problem around the marbles, that"s very an easy and it"s just two steps! We know that the "Part" (red marbles) is 55.

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

55 × 100 = 5500

In step two, us take that 5500 and also divide it by the "Percent", i m sorry we space told is 40.

So, 5500 split by 40 = 137.5

And that means that the total number of marbles is 137.5.

**Question:** A high school marching band has actually 55 flute players, If 40 percent the the tape members pat the flute, climate how plenty of members are in the band?

**Answer:** There are 137.5 members in the band.

**How To:** The smaller sized "Part" in this difficulty is 55 because there are 55 flute players and we room told the they make up 40 percent of the band, therefore the "Percent" is 40.

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

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

55 × 100 = 5500

For step two, we divide that 5500 by the "Percent", i m sorry is 40.

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5500 separated by 40 amounts to 137.5

That means that the total number of band members is 137.5.

## Another step by step method

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

**Step 2:** an initial writing that as: **100% / Y = 40% / 55**

**Step 3:** drop the percent marks to leveling your calculations: **100 / Y = 40 / 55**

**Step 4:** main point both sides by Y to move Y ~ above the best side of the equation: **100 = ( 40 / 55 ) Y**

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

**Step 6:** dividing both political parties of the equation by 40, we will arrive in ~ **137.5 = Y**

This leaves us through our final answer: **55 is 40 percent the 137.5**

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