# Question: 45 is 15 percent of what number?

## Step by step solution for calculating 45 is 15 percent of what number

We already have our first value 45 and the second value 15. 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 45 = 15% × Y

STEP 2 45 = 15/100× Y

Multiplying both sides by 100 and dividing both sides of the equation by 15 we will arrive at:

STEP 3 Y = 45 × 100/15

STEP 4 Y = 45 × 100 ÷ 15

STEP 5 Y = 300

Finally, we have found the value of Y which is 300 and that is our answer. You can easily calculate 45 is 15 percent of what number by using any regular calculator, simply enter 45 × 100 ÷ 15 and you will get your answer which is 300 Here is a Percentage Calculator to solve similar calculations such as 45 is 15 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.

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## Sample questions, answers, and how to

Question: Your friend has a bag of marbles, and he tells you that 15 percent of the marbles are red. If there are 45 red marbles. How many marbles does he have altogether?

How To: In this problem, we know that the Percent is 15, and we are also told that the Part of the marbles is red, so we know that the Part is 45.

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 45.

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

45 × 100 = 4500

In step two, we take that 4500 and divide it by the "Percent", which we are told is 15.

So, 4500 divided by 15 = 300

And that means that the total number of marbles is 300.

Question: A high school marching band has 45 flute players, If 15 percent of the band members play the flute, then how many members are in the band?

Answer: There are 300 members in the band.

How To: The smaller "Part" in this problem is 45 since there are 45 flute players and we are told that they make up 15 percent of the band, so the "Percent" is 15.

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.

45 × 100 = 4500

For step two, we divide that 4500 by the "Percent", which is 15.

4500 divided by 15 equals 300

That means that the total number of band members is 300.

## Another step by step method

Step 1: Let's assume the unknown value is Y

Step 2: First writing it as: 100% / Y = 15% / 45

Step 3: Drop the percentage marks to simplify your calculations: 100 / Y = 15 / 45

Step 4: Multiply both sides by Y to move Y on the right side of the equation: 100 = ( 15 / 45 ) Y

Step 5: Simplifying the right side, we get: 100 = 15 Y

Step 6: Dividing both sides of the equation by 15, we will arrive at 300 = Y

This leaves us with our final answer: 45 is 15 percent of 300

## Percentage Table

 45 is 15 percent of 300 45.01 is 15 percent of 300.067 45.02 is 15 percent of 300.133 45.03 is 15 percent of 300.2 45.04 is 15 percent of 300.267 45.05 is 15 percent of 300.333 45.06 is 15 percent of 300.4 45.07 is 15 percent of 300.467 45.08 is 15 percent of 300.533 45.09 is 15 percent of 300.6 45.1 is 15 percent of 300.667 45.11 is 15 percent of 300.733 45.12 is 15 percent of 300.8 45.13 is 15 percent of 300.867 45.14 is 15 percent of 300.933 45.15 is 15 percent of 301 45.16 is 15 percent of 301.067 45.17 is 15 percent of 301.133 45.18 is 15 percent of 301.2 45.19 is 15 percent of 301.267
 45.2 is 15 percent of 301.333 45.21 is 15 percent of 301.4 45.22 is 15 percent of 301.467 45.23 is 15 percent of 301.533 45.24 is 15 percent of 301.6 45.25 is 15 percent of 301.667 45.26 is 15 percent of 301.733 45.27 is 15 percent of 301.8 45.28 is 15 percent of 301.867 45.29 is 15 percent of 301.933 45.3 is 15 percent of 302 45.31 is 15 percent of 302.067 45.32 is 15 percent of 302.133 45.33 is 15 percent of 302.2 45.34 is 15 percent of 302.267 45.35 is 15 percent of 302.333 45.36 is 15 percent of 302.4 45.37 is 15 percent of 302.467 45.38 is 15 percent of 302.533 45.39 is 15 percent of 302.6
 45.4 is 15 percent of 302.667 45.41 is 15 percent of 302.733 45.42 is 15 percent of 302.8 45.43 is 15 percent of 302.867 45.44 is 15 percent of 302.933 45.45 is 15 percent of 303 45.46 is 15 percent of 303.067 45.47 is 15 percent of 303.133 45.48 is 15 percent of 303.2 45.49 is 15 percent of 303.267 45.5 is 15 percent of 303.333 45.51 is 15 percent of 303.4 45.52 is 15 percent of 303.467 45.53 is 15 percent of 303.533 45.54 is 15 percent of 303.6 45.55 is 15 percent of 303.667 45.56 is 15 percent of 303.733 45.57 is 15 percent of 303.8 45.58 is 15 percent of 303.867 45.59 is 15 percent of 303.933
 45.6 is 15 percent of 304 45.61 is 15 percent of 304.067 45.62 is 15 percent of 304.133 45.63 is 15 percent of 304.2 45.64 is 15 percent of 304.267 45.65 is 15 percent of 304.333 45.66 is 15 percent of 304.4 45.67 is 15 percent of 304.467 45.68 is 15 percent of 304.533 45.69 is 15 percent of 304.6 45.7 is 15 percent of 304.667 45.71 is 15 percent of 304.733 45.72 is 15 percent of 304.8 45.73 is 15 percent of 304.867 45.74 is 15 percent of 304.933 45.75 is 15 percent of 305 45.76 is 15 percent of 305.067 45.77 is 15 percent of 305.133 45.78 is 15 percent of 305.2 45.79 is 15 percent of 305.267
 45.8 is 15 percent of 305.333 45.81 is 15 percent of 305.4 45.82 is 15 percent of 305.467 45.83 is 15 percent of 305.533 45.84 is 15 percent of 305.6 45.85 is 15 percent of 305.667 45.86 is 15 percent of 305.733 45.87 is 15 percent of 305.8 45.88 is 15 percent of 305.867 45.89 is 15 percent of 305.933 45.9 is 15 percent of 306 45.91 is 15 percent of 306.067 45.92 is 15 percent of 306.133 45.93 is 15 percent of 306.2 45.94 is 15 percent of 306.267 45.95 is 15 percent of 306.333 45.96 is 15 percent of 306.4 45.97 is 15 percent of 306.467 45.98 is 15 percent of 306.533 45.99 is 15 percent of 306.6