# Question: 360 is 80 percent of what number?

## Step by step solution for calculating 360 is 80 percent of what number

We already have our first value 360 and the second value 80. 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 1 360 = 80% × Y

STEP 2 360 = 80/100× Y

Multiplying both sides by 100 and dividing both sides of the equation by 80 we will arrive at:

STEP 3 Y = 360 × 100/80

STEP 4 Y = 360 × 100 ÷ 80

STEP 5 Y = 450

Finally, we have found the value of Y which is 450 and that is our answer. You can easily calculate 360 is 80 percent of what number by using any regular calculator, simply enter 360 × 100 ÷ 80 and you will get your answer which is 450 Here is a Percentage Calculator to solve similar calculations such as 360 is 80 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 80 percent of the marbles are red. If there are 360 red marbles. How many marbles does he have altogether?

How To: In this problem, we know that the Percent is 80, and we are also told that the Part of the marbles is red, so we know that the Part is 360.

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 360.

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

360 × 100 = 36000

In step two, we take that 36000 and divide it by the "Percent", which we are told is 80.

So, 36000 divided by 80 = 450

And that means that the total number of marbles is 450.

Question: A high school marching band has 360 flute players, If 80 percent of the band members play the flute, then how many members are in the band?

Answer: There are 450 members in the band.

How To: The smaller "Part" in this problem is 360 since there are 360 flute players and we are told that they make up 80 percent of the band, so the "Percent" is 80.

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.

360 × 100 = 36000

For step two, we divide that 36000 by the "Percent", which is 80.

36000 divided by 80 equals 450

That means that the total number of band members is 450.

## Another step by step method

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

Step 2: First writing it as: 100% / Y = 80% / 360

Step 3: Drop the percentage marks to simplify your calculations: 100 / Y = 80 / 360

Step 4: Multiply both sides by Y to move Y on the right side of the equation: 100 = ( 80 / 360 ) Y

Step 5: Simplifying the right side, we get: 100 = 80 Y

Step 6: Dividing both sides of the equation by 80, we will arrive at 450 = Y

This leaves us with our final answer: 360 is 80 percent of 450

## Percentage Table

 360 is 80 percent of 450 360.01 is 80 percent of 450.013 360.02 is 80 percent of 450.025 360.03 is 80 percent of 450.038 360.04 is 80 percent of 450.05 360.05 is 80 percent of 450.063 360.06 is 80 percent of 450.075 360.07 is 80 percent of 450.088 360.08 is 80 percent of 450.1 360.09 is 80 percent of 450.113 360.1 is 80 percent of 450.125 360.11 is 80 percent of 450.138 360.12 is 80 percent of 450.15 360.13 is 80 percent of 450.163 360.14 is 80 percent of 450.175 360.15 is 80 percent of 450.188 360.16 is 80 percent of 450.2 360.17 is 80 percent of 450.213 360.18 is 80 percent of 450.225 360.19 is 80 percent of 450.238
 360.2 is 80 percent of 450.25 360.21 is 80 percent of 450.263 360.22 is 80 percent of 450.275 360.23 is 80 percent of 450.288 360.24 is 80 percent of 450.3 360.25 is 80 percent of 450.313 360.26 is 80 percent of 450.325 360.27 is 80 percent of 450.338 360.28 is 80 percent of 450.35 360.29 is 80 percent of 450.363 360.3 is 80 percent of 450.375 360.31 is 80 percent of 450.388 360.32 is 80 percent of 450.4 360.33 is 80 percent of 450.413 360.34 is 80 percent of 450.425 360.35 is 80 percent of 450.438 360.36 is 80 percent of 450.45 360.37 is 80 percent of 450.463 360.38 is 80 percent of 450.475 360.39 is 80 percent of 450.488
 360.4 is 80 percent of 450.5 360.41 is 80 percent of 450.513 360.42 is 80 percent of 450.525 360.43 is 80 percent of 450.538 360.44 is 80 percent of 450.55 360.45 is 80 percent of 450.562 360.46 is 80 percent of 450.575 360.47 is 80 percent of 450.587 360.48 is 80 percent of 450.6 360.49 is 80 percent of 450.612 360.5 is 80 percent of 450.625 360.51 is 80 percent of 450.638 360.52 is 80 percent of 450.65 360.53 is 80 percent of 450.662 360.54 is 80 percent of 450.675 360.55 is 80 percent of 450.687 360.56 is 80 percent of 450.7 360.57 is 80 percent of 450.712 360.58 is 80 percent of 450.725 360.59 is 80 percent of 450.737
 360.6 is 80 percent of 450.75 360.61 is 80 percent of 450.762 360.62 is 80 percent of 450.775 360.63 is 80 percent of 450.787 360.64 is 80 percent of 450.8 360.65 is 80 percent of 450.812 360.66 is 80 percent of 450.825 360.67 is 80 percent of 450.837 360.68 is 80 percent of 450.85 360.69 is 80 percent of 450.862 360.7 is 80 percent of 450.875 360.71 is 80 percent of 450.887 360.72 is 80 percent of 450.9 360.73 is 80 percent of 450.912 360.74 is 80 percent of 450.925 360.75 is 80 percent of 450.937 360.76 is 80 percent of 450.95 360.77 is 80 percent of 450.962 360.78 is 80 percent of 450.975 360.79 is 80 percent of 450.987
 360.8 is 80 percent of 451 360.81 is 80 percent of 451.012 360.82 is 80 percent of 451.025 360.83 is 80 percent of 451.037 360.84 is 80 percent of 451.05 360.85 is 80 percent of 451.062 360.86 is 80 percent of 451.075 360.87 is 80 percent of 451.087 360.88 is 80 percent of 451.1 360.89 is 80 percent of 451.112 360.9 is 80 percent of 451.125 360.91 is 80 percent of 451.137 360.92 is 80 percent of 451.15 360.93 is 80 percent of 451.162 360.94 is 80 percent of 451.175 360.95 is 80 percent of 451.187 360.96 is 80 percent of 451.2 360.97 is 80 percent of 451.212 360.98 is 80 percent of 451.225 360.99 is 80 percent of 451.237