## Step by step solution for calculating 72 is 18 percent the what number

We already have our an initial value **72** and also the 2nd value **18**. Let"s i think the unknown worth is **Y** i m sorry answer us will uncover out.

You are watching: 72 is 18 of what number

As we have all the forced values us need, now we have the right to put lock in a basic mathematical formula together below:

STEP 172 = 18% × Y

STEP 272 = 18/100× Y

Multiplying both sides by 100 and dividing both political parties of the equation by 18 we will certainly arrive at:

STEP 3Y = 72 × 100/18

STEP 4Y = 72 × 100 ÷ 18

STEP 5Y = 400

Finally, we have uncovered the worth of Y which is 400 and that is ours answer.

You can quickly calculate **72 is 18 percent the what number** by using any kind of regular calculator, simply get in **72 × 100 ÷ 18** and also you will get your answer which is **400**

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## Sample questions, answers, and how to

**Question:** her friend has actually a bag of marbles, and also he tells you the 18 percent the the marbles are red. If there space 72 red marbles. How many marbles go he have altogether?

**Answer:** 400 marbles.

**How To:** In this problem, we know that the Percent is 18, and also we are likewise told the the component of the marbles is red, so we understand that the component is 72.

So, that means that it should be the complete that"s missing. Here is the means to number out what the full is:

Part/Total = Percent/100

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

Part × 100/Percent = Total

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

Let"s try it the end on ours problem about the marbles, that"s very an easy and it"s just two steps! We know that the "Part" (red marbles) is 72.

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

72 × 100 = 7200

In action two, we take the 7200 and also divide that by the "Percent", which we space told is 18.

So, 7200 divided by 18 = 400

And that way that the total number of marbles is 400.

**Question:** A high college marching band has actually 72 flute players, If 18 percent that the band members play the flute, then how countless members room in the band?

**Answer:** There room 400 members in the band.

**How To:** The smaller "Part" in this problem is 72 due to the fact that there room 72 flute players and also we room told the they consist of 18 percent that the band, for this reason the "Percent" is 18.

Again, it"s the "Total" that"s absent here, and to uncover it, we just need to follow our 2 step procedure together the vault problem.

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

72 × 100 = 7200

For step two, we divide that 7200 through the "Percent", which is 18.

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7200 divided by 18 equates to 400

That means that the total variety of band members is 400.

## Another step by step method

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

**Step 2:** very first writing it as: **100% / Y = 18% / 72**

**Step 3:** drop the percent marks to simplify your calculations: **100 / Y = 18 / 72**

**Step 4:** main point both political parties by Y to relocate Y on the right side that the equation: **100 = ( 18 / 72 ) Y**

**Step 5:** simple the ideal side, we get: **100 = 18 Y**

**Step 6:** splitting both sides of the equation by 18, we will arrive in ~ **400 = Y**

This pipeline us through our final answer: **72 is 18 percent the 400**

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