## Step by step solution for calculating 30 is 60 percent of what number

We already have our first value **30** and the second value **60**. Let”s assume the unknown value is **Y** which answer we will find out.

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As we have all the required values we need, Now we can put them in a simple mathematical formula as below:

STEP 130 = 60% × Y

STEP 230 = 60/100× Y

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

STEP 3Y = 30 × 100/60

STEP 4Y = 30 × 100 ÷ 60

STEP 5Y = 50

Finally, we have found the value of Y which is 50 and that is our answer.

You can easily calculate **30 is 60 percent of what number** by using any regular calculator, simply enter **30 × 100 ÷ 60** and you will get your answer which is **50**

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## Sample questions, answers, and how to

**Question:** Your friend has a bag of marbles, and he tells you that 60 percent of the marbles are red. If there are 30 red marbles. How many marbles does he have altogether?

**Answer:** 50 marbles.

**How To:** In this problem, we know that the Percent is 60, and we are also told that the Part of the marbles is red, so we know that the Part is 30.

So, that means that it must be the Total that”s missing. Here is the way to figure out what the Total is:

Part/Total = Percent/100

By using a simple algebra we can re-arrange our Percent equation like this:

Part × 100/Percent = Total

If we take the “Part” and multiply it by 100, and then we divide that by the “Percent”, we will get the “Total”.

Let”s try it out on our problem about the marbles, that”s very simple and it”s just two steps! We know that the “Part” (red marbles) is 30.

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

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30 × 100 = 3000

In step two, we take that 3000 and divide it by the “Percent”, which we are told is 60.

So, 3000 divided by 60 = 50

And that means that the total number of marbles is 50.

**Question:** A high school marching band has 30 flute players, If 60 percent of the band members play the flute, then how many members are in the band?

**Answer:** There are 50 members in the band.

**How To:** The smaller “Part” in this problem is 30 since there are 30 flute players and we are told that they make up 60 percent of the band, so the “Percent” is 60.

Again, it”s the “Total” that”s missing here, and to find it, we just need to follow our 2 step procedure as the previous problem.

For step one, we multiply the “Part” by 100.

30 × 100 = 3000

For step two, we divide that 3000 by the “Percent”, which is 60.

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3000 divided by 60 equals 50

That means that the total number of band members is 50.

## Another step by step method

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

**Step 2:** First writing it as: **100% / Y = 60% / 30**

**Step 3:** Drop the percentage marks to simplify your calculations: **100 / Y = 60 / 30**

**Step 4:** Multiply both sides by Y to move Y on the right side of the equation: **100 = ( 60 / 30 ) Y**

**Step 5:** Simplifying the right side, we get: **100 = 60 Y**

**Step 6:** Dividing both sides of the equation by 60, we will arrive at **50 = Y**

This leaves us with our final answer: **30 is 60 percent of 50**

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