Question: 45 is 80 percent of what number?

Answer: 56.25

If you want to learn more, then please keep reading, and you won't be disappointed.

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 145 = 80% × Y

STEP 245 = 80/100× Y

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

STEP 3Y = 45 × 100/80

STEP 4Y = 45 × 100 ÷ 80

STEP 5Y = 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.

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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 45 red marbles. How many marbles does he have altogether?

Answer: 56.25 marbles.

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