## Step by step solution for calculating 52 is 65 percent of what number

We already have our first value **52** and the second value **65**. 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 152 = 65% × Y

STEP 252 = 65/100× Y

Multiplying both sides by 100 and dividing both sides of the equation by 65 we will arrive at:

STEP 3Y = 52 × 100/65

STEP 4Y = 52 × 100 ÷ 65

STEP 5Y = 80

Finally, we have found the value of Y which is 80 and that is our answer.

You can easily calculate **52 is 65 percent of what number** by using any regular calculator, simply enter **52 × 100 ÷ 65** and you will get your answer which is **80**

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## Sample questions, answers, and how to

**Question:** Your friend has a bag of marbles, and he tells you that 65 percent of the marbles are red. If there are 52 red marbles. How many marbles does he have altogether?

**Answer:** 80 marbles.

**How To:** In this problem, we know that the Percent is 65, and we are also told that the Part of the marbles is red, so we know that the Part is 52.

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 52.

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

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52 × 100 = 5200

In step two, we take that 5200 and divide it by the “Percent”, which we are told is 65.

So, 5200 divided by 65 = 80

And that means that the total number of marbles is 80.

**Question:** A high school marching band has 52 flute players, If 65 percent of the band members play the flute, then how many members are in the band?

**Answer:** There are 80 members in the band.

**How To:** The smaller “Part” in this problem is 52 since there are 52 flute players and we are told that they make up 65 percent of the band, so the “Percent” is 65.

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.

52 × 100 = 5200

For step two, we divide that 5200 by the “Percent”, which is 65.

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5200 divided by 65 equals 80

That means that the total number of band members is 80.

## Another step by step method

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

**Step 2:** First writing it as: **100% / Y = 65% / 52**

**Step 3:** Drop the percentage marks to simplify your calculations: **100 / Y = 65 / 52**

**Step 4:** Multiply both sides by Y to move Y on the right side of the equation: **100 = ( 65 / 52 ) Y**

**Step 5:** Simplifying the right side, we get: **100 = 65 Y**

**Step 6:** Dividing both sides of the equation by 65, we will arrive at **80 = Y**

This leaves us with our final answer: **52 is 65 percent of 80**

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