We already have our first value **42** and the second value **46.667**. Let's assume the unknown value is **Y** which answer we will find out.

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

STEP 1 42 = 46.667% × Y

STEP 2 42 = 46.667100× Y

Multiplying both sides by 100 and dividing both sides of the equation by 46.667 we will arrive at:

STEP 3 Y = 42 × 10046.667

STEP 4 Y = 42 × 100 ÷ 46.667

STEP 5 Y = 89.999

Finally, we have found the value of Y which is 89.999 and that is our answer.

You can easily calculate **42 is 46.667 percent of what number** by using any regular calculator, simply enter **42 × 100 ÷ 46.667** and you will get your answer which is **89.999**

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Here is a Percentage Calculator to solve similar calculations such as 42 is 46.667 percent of what number. You can solve this type of calculation with your values by entering them into the calculator's fields, and click *'Calculate'* to get the result and explanation.

**Question:** Your friend has a bag of marbles, and he tells you that 46.667 percent of the marbles are red. If there are 42 red marbles. How many marbles does he have altogether?

**Answer:** 89.999 marbles.

**How To:** In this problem, we know that the Percent is 46.667, and we are also told that the Part of the marbles is red, so we know that the Part is 42.

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

PartTotal = Percent100

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

Part × 100Percent = 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 42.

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

42 × 100 = 4200

In step two, we take that 4200 and divide it by the "Percent", which we are told is 46.667.

So, 4200 divided by 46.667 = 89.999

And that means that the total number of marbles is 89.999.

**Question:** A high school marching band has 42 flute players, If 46.667 percent of the band members play the flute, then how many members are in the band?

**Answer:** There are 89.999 members in the band.

**How To:** The smaller "Part" in this problem is 42 since there are 42 flute players and we are told that they make up 46.667 percent of the band, so the "Percent" is 46.667.

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.

42 × 100 = 4200

For step two, we divide that 4200 by the "Percent", which is 46.667.

4200 divided by 46.667 equals 89.999

That means that the total number of band members is 89.999.

Let's assume the unknown value is **Y**

First writing it as: **100% / Y = 46.667% / 42**

Drop the percentage marks to simplify your calculations: **100 / Y = 46.667 / 42**

Multiply both sides by Y to move Y on the right side of the equation: **100 = ( 46.667 / 42 ) Y**

Simplifying the right side, we get: **100 = 46.667 Y**

Dividing both sides of the equation by 46.667, we will arrive at **89.999 = Y**

This leaves us with our final answer: **42 is 46.667 percent of 89.999**

42 is 46.667 percent of 89.999 |

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