## Step by action solution because that calculating 16 is 64 percent of what number

We currently have our very first value **16** and also the second value **64**. Let"s i think the unknown value is **Y** which answer us will uncover out.

You are watching: 64 is 16% of what number

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

STEP 116 = 64% × Y

STEP 216 = 64/100× Y

Multiplying both political parties by 100 and also dividing both sides of the equation by 64 we will certainly arrive at:

STEP 3Y = 16 × 100/64

STEP 4Y = 16 × 100 ÷ 64

STEP 5Y = 25

Finally, we have uncovered the value of Y i beg your pardon is 25 and that is our answer.

You can quickly calculate **16 is 64 percent the what number** by using any type of regular calculator, simply enter **16 × 100 ÷ 64** and also you will gain your answer i m sorry is **25**

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## Sample questions, answers, and how to

**Question:** your friend has actually a bag that marbles, and also he tells you that 64 percent that the marbles space red. If there space 16 red marbles. How countless marbles does he have actually altogether?

**Answer:** 25 marbles.

**How To:** In this problem, we recognize that the Percent is 64, and also we are also told the the component of the marbles is red, so we know that the part is 16.

So, that method that it need to be the complete that"s missing. Below is the way to figure out what the full is:

Part/Total = Percent/100

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

Part × 100/Percent = Total

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

Let"s shot it the end on ours problem around the marbles, that"s very basic and it"s just two steps! We understand that the "Part" (red marbles) is 16.

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

16 × 100 = 1600

In step two, we take the 1600 and also divide the by the "Percent", i m sorry we room told is 64.

So, 1600 split by 64 = 25

And that way that the total variety of marbles is 25.

**Question:** A high college marching band has 16 flute players, If 64 percent of the tape members play the flute, then how many members space in the band?

**Answer:** There space 25 members in the band.

**How To:** The smaller sized "Part" in this problem is 16 since there are 16 flute players and also we are told that they make up 64 percent that the band, for this reason the "Percent" is 64.

Again, it"s the "Total" that"s missing here, and to discover it, we simply need to monitor our 2 step procedure as the vault problem.

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

16 × 100 = 1600

For action two, we division that 1600 by the "Percent", which is 64.

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1600 split by 64 equals 25

That means that the total number of band members is 25.

## Another action by step method

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

**Step 2:** first writing that as: **100% / Y = 64% / 16**

**Step 3:** autumn the portion marks to leveling your calculations: **100 / Y = 64 / 16**

**Step 4:** multiply both political parties by Y to relocate Y top top the best side of the equation: **100 = ( 64 / 16 ) Y**

**Step 5:** simplifying the best side, we get: **100 = 64 Y**

**Step 6:** separating both sides of the equation through 64, we will certainly arrive in ~ **25 = Y**

This pipeline us with our final answer: **16 is 64 percent of 25**

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