## Step by action solution because that calculating 3 is 60 percent of what number

We currently have our very first value **3** and the 2nd value **60**. Let"s assume the unknown value is **Y** i m sorry answer us will discover out.

You are watching: 3 is 60 of what number

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

STEP 13 = 60% × Y

STEP 23 = 60/100× Y

Multiplying both sides by 100 and dividing both sides of the equation through 60 we will arrive at:

STEP 3Y = 3 × 100/60

STEP 4Y = 3 × 100 ÷ 60

STEP 5Y = 5

Finally, we have found the worth of Y i m sorry is 5 and also that is our answer.

You can conveniently calculate **3 is 60 percent that what number** through using any type of regular calculator, simply get in **3 × 100 ÷ 60** and also you will acquire your answer i beg your pardon is **5**

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## Sample questions, answers, and how to

**Question:** her friend has a bag of marbles, and also he speak you the 60 percent the the marbles are red. If there space 3 red marbles. How many marbles go he have altogether?

**Answer:** 5 marbles.

**How To:** In this problem, we understand that the Percent is 60, and we are additionally told the the part of the marbles is red, therefore we understand that the part is 3.

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

Part/Total = Percent/100

By using a basic algebra we deserve to re-arrange ours Percent equation prefer this:

Part × 100/Percent = Total

If we take the "Part" and also 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 an easy and it"s just two steps! We understand that the "Part" (red marbles) is 3.

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

3 × 100 = 300

In step two, we take that 300 and divide that by the "Percent", i m sorry we room told is 60.

So, 300 split by 60 = 5

And that method that the total variety of marbles is 5.

**Question:** A high college marching band has 3 flute players, If 60 percent that the tape members pat the flute, climate how numerous members are in the band?

**Answer:** There are 5 members in the band.

**How To:** The smaller "Part" in this problem is 3 because there room 3 flute players and also we space told that they comprise 60 percent the the band, so the "Percent" is 60.

Again, it"s the "Total" that"s lacking here, and also to discover it, we simply need to follow our 2 action procedure as the ahead problem.

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

3 × 100 = 300

For step two, we divide that 300 by the "Percent", which is 60.

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300 separated by 60 equates to 5

That means that the total number of band members is 5.

## Another action by action method

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

**Step 2:** first writing it as: **100% / Y = 60% / 3**

**Step 3:** autumn the portion marks to leveling your calculations: **100 / Y = 60 / 3**

**Step 4:** multiply both sides by Y to move Y ~ above the appropriate side of the equation: **100 = ( 60 / 3 ) Y**

**Step 5:** simple the best side, us get: **100 = 60 Y**

**Step 6:** dividing both sides of the equation through 60, we will arrive at **5 = Y**

This pipeline us through our final answer: **3 is 60 percent that 5**

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