# Question: 45 is 80 percent of what number?

## Step by step solution for calculating 45 is 80 percent of what number

We already have our first value 45 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 45 = 80% × Y

STEP 2 45 = 80/100× Y

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

STEP 3 Y = 45 × 100/80

STEP 4 Y = 45 × 100 ÷ 80

STEP 5 Y = 56.25

Finally, we have found the value of Y which is 56.25 and that is our answer. You can easily calculate 45 is 80 percent of what number by using any regular calculator, simply enter 45 × 100 ÷ 80 and you will get your answer which is 56.25 Here is a Percentage Calculator to solve similar calculations such as 45 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.

is
percent of what number

## 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 45 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 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 80.

So, 4500 divided by 80 = 56.25

And that means that the total number of marbles is 56.25.

Question: A high school marching band has 45 flute players, If 80 percent of the band members play the flute, then how many members are in the band?

Answer: There are 56.25 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 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.

45 × 100 = 4500

For step two, we divide that 4500 by the "Percent", which is 80.

4500 divided by 80 equals 56.25

That means that the total number of band members is 56.25.

## Another step by step method

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

Step 2: First writing it as: 100% / Y = 80% / 45

Step 3: Drop the percentage marks to simplify your calculations: 100 / Y = 80 / 45

Step 4: Multiply both sides by Y to move Y on the right side of the equation: 100 = ( 80 / 45 ) 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 56.25 = Y

This leaves us with our final answer: 45 is 80 percent of 56.25

## Percentage Table

 45 is 80 percent of 56.25 45.01 is 80 percent of 56.263 45.02 is 80 percent of 56.275 45.03 is 80 percent of 56.288 45.04 is 80 percent of 56.3 45.05 is 80 percent of 56.313 45.06 is 80 percent of 56.325 45.07 is 80 percent of 56.338 45.08 is 80 percent of 56.35 45.09 is 80 percent of 56.363 45.1 is 80 percent of 56.375 45.11 is 80 percent of 56.388 45.12 is 80 percent of 56.4 45.13 is 80 percent of 56.413 45.14 is 80 percent of 56.425 45.15 is 80 percent of 56.438 45.16 is 80 percent of 56.45 45.17 is 80 percent of 56.463 45.18 is 80 percent of 56.475 45.19 is 80 percent of 56.488
 45.2 is 80 percent of 56.5 45.21 is 80 percent of 56.513 45.22 is 80 percent of 56.525 45.23 is 80 percent of 56.538 45.24 is 80 percent of 56.55 45.25 is 80 percent of 56.562 45.26 is 80 percent of 56.575 45.27 is 80 percent of 56.587 45.28 is 80 percent of 56.6 45.29 is 80 percent of 56.612 45.3 is 80 percent of 56.625 45.31 is 80 percent of 56.637 45.32 is 80 percent of 56.65 45.33 is 80 percent of 56.662 45.34 is 80 percent of 56.675 45.35 is 80 percent of 56.687 45.36 is 80 percent of 56.7 45.37 is 80 percent of 56.712 45.38 is 80 percent of 56.725 45.39 is 80 percent of 56.737
 45.4 is 80 percent of 56.75 45.41 is 80 percent of 56.762 45.42 is 80 percent of 56.775 45.43 is 80 percent of 56.787 45.44 is 80 percent of 56.8 45.45 is 80 percent of 56.812 45.46 is 80 percent of 56.825 45.47 is 80 percent of 56.837 45.48 is 80 percent of 56.85 45.49 is 80 percent of 56.862 45.5 is 80 percent of 56.875 45.51 is 80 percent of 56.887 45.52 is 80 percent of 56.9 45.53 is 80 percent of 56.912 45.54 is 80 percent of 56.925 45.55 is 80 percent of 56.937 45.56 is 80 percent of 56.95 45.57 is 80 percent of 56.962 45.58 is 80 percent of 56.975 45.59 is 80 percent of 56.987
 45.6 is 80 percent of 57 45.61 is 80 percent of 57.012 45.62 is 80 percent of 57.025 45.63 is 80 percent of 57.037 45.64 is 80 percent of 57.05 45.65 is 80 percent of 57.062 45.66 is 80 percent of 57.075 45.67 is 80 percent of 57.087 45.68 is 80 percent of 57.1 45.69 is 80 percent of 57.112 45.7 is 80 percent of 57.125 45.71 is 80 percent of 57.137 45.72 is 80 percent of 57.15 45.73 is 80 percent of 57.162 45.74 is 80 percent of 57.175 45.75 is 80 percent of 57.187 45.76 is 80 percent of 57.2 45.77 is 80 percent of 57.212 45.78 is 80 percent of 57.225 45.79 is 80 percent of 57.237
 45.8 is 80 percent of 57.25 45.81 is 80 percent of 57.262 45.82 is 80 percent of 57.275 45.83 is 80 percent of 57.287 45.84 is 80 percent of 57.3 45.85 is 80 percent of 57.312 45.86 is 80 percent of 57.325 45.87 is 80 percent of 57.337 45.88 is 80 percent of 57.35 45.89 is 80 percent of 57.362 45.9 is 80 percent of 57.375 45.91 is 80 percent of 57.387 45.92 is 80 percent of 57.4 45.93 is 80 percent of 57.412 45.94 is 80 percent of 57.425 45.95 is 80 percent of 57.437 45.96 is 80 percent of 57.45 45.97 is 80 percent of 57.462 45.98 is 80 percent of 57.475 45.99 is 80 percent of 57.487