## Step by action solution for calculating 12 is 40 percent that what number

We currently have our first value **12** and also the 2nd value **40**. Let"s assume the unknown value is **Y** i m sorry answer we will discover out.

You are watching: 12 is 40 of what number

As we have actually all the compelled values we need, currently we can put them in a straightforward mathematical formula together below:

STEP 112 = 40% × Y

STEP 212 = 40/100× Y

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

STEP 3Y = 12 × 100/40

STEP 4Y = 12 × 100 ÷ 40

STEP 5Y = 30

Finally, we have discovered the worth of Y i m sorry is 30 and that is ours answer.

You can conveniently calculate **12 is 40 percent the what number** by using any kind of regular calculator, simply go into **12 × 100 ÷ 40** and you will gain your answer i beg your pardon is **30**

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## Sample questions, answers, and also how to

**Question:** your friend has a bag of marbles, and also he tells you the 40 percent the the marbles room red. If there room 12 red marbles. How many marbles does he have altogether?

**Answer:** 30 marbles.

**How To:** In this problem, we understand that the Percent is 40, and also we are likewise told the the component of the marbles is red, for this reason we recognize that the part is 12.

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

Part/Total = Percent/100

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

Part × 100/Percent = Total

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

Let"s try it the end on our problem about the marbles, that"s very simple and it"s just two steps! We recognize that the "Part" (red marbles) is 12.

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

12 × 100 = 1200

In action two, we take that 1200 and also divide it by the "Percent", which we room told is 40.

So, 1200 separated by 40 = 30

And that means that the total number of marbles is 30.

**Question:** A high institution marching band has actually 12 flute players, If 40 percent that the tape members beat the flute, then how plenty of members are in the band?

**Answer:** There are 30 members in the band.

**How To:** The smaller "Part" in this problem is 12 since there are 12 flute players and 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 also to discover it, we simply need to follow our 2 action procedure as the vault problem.

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

12 × 100 = 1200

For action two, we divide that 1200 through the "Percent", i m sorry is 40.

See more: Shortening 100 Grams Is Equivalent To How Many Ounces (G To Oz) Converter

1200 divided by 40 equates to 30

That means that the total number of band members is 30.

## Another action by step method

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

**Step 2:** very first writing it as: **100% / Y = 40% / 12**

**Step 3:** autumn the percentage marks to simplify your calculations: **100 / Y = 40 / 12**

**Step 4:** multiply both sides by Y to relocate Y top top the best side the the equation: **100 = ( 40 / 12 ) Y**

**Step 5:** simplifying the right side, us get: **100 = 40 Y**

**Step 6:** dividing both political parties of the equation through 40, we will arrive in ~ **30 = Y**

This leaves us v our last answer: **12 is 40 percent that 30**

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