## Step by step solution for calculating 3 is 60 percent of what number

We currently have our an initial value **3** and also the 2nd value **60**. Let"s i think the unknown worth is **Y** which answer us will discover out.

You are watching: 3 is 60 percent of what

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

STEP 13 = 60% × Y

STEP 23 = 60/100× Y

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

STEP 3Y = 3 × 100/60

STEP 4Y = 3 × 100 ÷ 60

STEP 5Y = 5

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

You can quickly calculate **3 is 60 percent that what number** by using any kind of regular calculator, simply go into **3 × 100 ÷ 60** and also you will gain your answer which is **5**

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## Sample questions, answers, and also how to

**Question:** her friend has actually a bag the marbles, and also he tells you the 60 percent the the marbles space red. If there space 3 red marbles. How countless marbles does he have altogether?

**Answer:** 5 marbles.

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

So, that way that it have to be the total that"s missing. Below is the means to number out what the full is:

Part/Total = Percent/100

By making use of a simple algebra we have the right to re-arrange ours Percent equation favor this:

Part × 100/Percent = Total

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

Let"s try it out 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 3.

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

3 × 100 = 300

In action two, us take that 300 and divide it by the "Percent", which we space told is 60.

So, 300 split by 60 = 5

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

**Question:** A high institution marching band has 3 flute players, If 60 percent that the tape members play the flute, climate how many members space in the band?

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

**How To:** The smaller sized "Part" in this difficulty is 3 due to the fact that there space 3 flute players and also we room 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 find it, we just need to follow our 2 action procedure as the vault problem.

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

3 × 100 = 300

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

See more: What Is The Value Of 7 To The Fifth Power? ? Exponent Calculator

300 split by 60 equates to 5

That method 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:** very first writing that as: **100% / Y = 60% / 3**

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

**Step 4:** main point both political parties by Y to relocate Y on the right side of the equation: **100 = ( 60 / 3 ) Y**

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

**Step 6:** splitting both political parties of the equation by 60, we will certainly arrive in ~ **5 = Y**

This pipeline us with our last answer: **3 is 60 percent the 5**

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