# Question: 78 is 15 percent of what number?

## Step by step solution for calculating 78 is 15 percent of what number

We already have our first value 78 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 78 = 15% × Y

STEP 2 78 = 15/100× Y

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

STEP 3 Y = 78 × 100/15

STEP 4 Y = 78 × 100 ÷ 15

STEP 5 Y = 520

Finally, we have found the value of Y which is 520 and that is our answer. You can easily calculate 78 is 15 percent of what number by using any regular calculator, simply enter 78 × 100 ÷ 15 and you will get your answer which is 520 Here is a Percentage Calculator to solve similar calculations such as 78 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.

is
percent of what number

## 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 78 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 78.

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 78.

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

78 × 100 = 7800

In step two, we take that 7800 and divide it by the "Percent", which we are told is 15.

So, 7800 divided by 15 = 520

And that means that the total number of marbles is 520.

Question: A high school marching band has 78 flute players, If 15 percent of the band members play the flute, then how many members are in the band?

Answer: There are 520 members in the band.

How To: The smaller "Part" in this problem is 78 since there are 78 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.

78 × 100 = 7800

For step two, we divide that 7800 by the "Percent", which is 15.

7800 divided by 15 equals 520

That means that the total number of band members is 520.

## Another step by step method

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

Step 2: First writing it as: 100% / Y = 15% / 78

Step 3: Drop the percentage marks to simplify your calculations: 100 / Y = 15 / 78

Step 4: Multiply both sides by Y to move Y on the right side of the equation: 100 = ( 15 / 78 ) 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 520 = Y

This leaves us with our final answer: 78 is 15 percent of 520

## Percentage Table

 78 is 15 percent of 520 78.01 is 15 percent of 520.067 78.02 is 15 percent of 520.133 78.03 is 15 percent of 520.2 78.04 is 15 percent of 520.267 78.05 is 15 percent of 520.333 78.06 is 15 percent of 520.4 78.07 is 15 percent of 520.467 78.08 is 15 percent of 520.533 78.09 is 15 percent of 520.6 78.1 is 15 percent of 520.667 78.11 is 15 percent of 520.733 78.12 is 15 percent of 520.8 78.13 is 15 percent of 520.867 78.14 is 15 percent of 520.933 78.15 is 15 percent of 521 78.16 is 15 percent of 521.067 78.17 is 15 percent of 521.133 78.18 is 15 percent of 521.2 78.19 is 15 percent of 521.267
 78.2 is 15 percent of 521.333 78.21 is 15 percent of 521.4 78.22 is 15 percent of 521.467 78.23 is 15 percent of 521.533 78.24 is 15 percent of 521.6 78.25 is 15 percent of 521.667 78.26 is 15 percent of 521.733 78.27 is 15 percent of 521.8 78.28 is 15 percent of 521.867 78.29 is 15 percent of 521.933 78.3 is 15 percent of 522 78.31 is 15 percent of 522.067 78.32 is 15 percent of 522.133 78.33 is 15 percent of 522.2 78.34 is 15 percent of 522.267 78.35 is 15 percent of 522.333 78.36 is 15 percent of 522.4 78.37 is 15 percent of 522.467 78.38 is 15 percent of 522.533 78.39 is 15 percent of 522.6
 78.4 is 15 percent of 522.667 78.41 is 15 percent of 522.733 78.42 is 15 percent of 522.8 78.43 is 15 percent of 522.867 78.44 is 15 percent of 522.933 78.45 is 15 percent of 523 78.46 is 15 percent of 523.067 78.47 is 15 percent of 523.133 78.48 is 15 percent of 523.2 78.49 is 15 percent of 523.267 78.5 is 15 percent of 523.333 78.51 is 15 percent of 523.4 78.52 is 15 percent of 523.467 78.53 is 15 percent of 523.533 78.54 is 15 percent of 523.6 78.55 is 15 percent of 523.667 78.56 is 15 percent of 523.733 78.57 is 15 percent of 523.8 78.58 is 15 percent of 523.867 78.59 is 15 percent of 523.933
 78.6 is 15 percent of 524 78.61 is 15 percent of 524.067 78.62 is 15 percent of 524.133 78.63 is 15 percent of 524.2 78.64 is 15 percent of 524.267 78.65 is 15 percent of 524.333 78.66 is 15 percent of 524.4 78.67 is 15 percent of 524.467 78.68 is 15 percent of 524.533 78.69 is 15 percent of 524.6 78.7 is 15 percent of 524.667 78.71 is 15 percent of 524.733 78.72 is 15 percent of 524.8 78.73 is 15 percent of 524.867 78.74 is 15 percent of 524.933 78.75 is 15 percent of 525 78.76 is 15 percent of 525.067 78.77 is 15 percent of 525.133 78.78 is 15 percent of 525.2 78.79 is 15 percent of 525.267
 78.8 is 15 percent of 525.333 78.81 is 15 percent of 525.4 78.82 is 15 percent of 525.467 78.83 is 15 percent of 525.533 78.84 is 15 percent of 525.6 78.85 is 15 percent of 525.667 78.86 is 15 percent of 525.733 78.87 is 15 percent of 525.8 78.88 is 15 percent of 525.867 78.89 is 15 percent of 525.933 78.9 is 15 percent of 526 78.91 is 15 percent of 526.067 78.92 is 15 percent of 526.133 78.93 is 15 percent of 526.2 78.94 is 15 percent of 526.267 78.95 is 15 percent of 526.333 78.96 is 15 percent of 526.4 78.97 is 15 percent of 526.467 78.98 is 15 percent of 526.533 78.99 is 15 percent of 526.6