Question: 90 is 40 percent of what number?

Answer: 225

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

Step by step solution for calculating 90 is 40 percent of what number

We already have our first value 90 and the second value 40. 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 190 = 40% × Y

STEP 290 = 40/100× Y

Multiplying both sides by 100 and dividing both sides of the equation by 40 we will arrive at:

STEP 3Y = 90 × 100/40

STEP 4Y = 90 × 100 ÷ 40

STEP 5Y = 225

Finally, we have found the value of Y which is 225 and that is our answer.

You can easily calculate 90 is 40 percent of what number by using any regular calculator, simply enter 90 × 100 ÷ 40 and you will get your answer which is 225

Here is a Percentage Calculator to solve similar calculations such as 90 is 40 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 40 percent of the marbles are red. If there are 90 red marbles. How many marbles does he have altogether?

Answer: 225 marbles.

How To: In this problem, we know that the Percent is 40, and we are also told that the Part of the marbles is red, so we know that the Part is 90.

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 90.

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

90 × 100 = 9000

In step two, we take that 9000 and divide it by the "Percent", which we are told is 40.

So, 9000 divided by 40 = 225

And that means that the total number of marbles is 225.


Question: A high school marching band has 90 flute players, If 40 percent of the band members play the flute, then how many members are in the band?

Answer: There are 225 members in the band.

How To: The smaller "Part" in this problem is 90 since there are 90 flute players and we are told that they make up 40 percent of the band, so the "Percent" is 40.

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.

90 × 100 = 9000

For step two, we divide that 9000 by the "Percent", which is 40.

9000 divided by 40 equals 225

That means that the total number of band members is 225.

Another step by step method

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

Step 2: First writing it as: 100% / Y = 40% / 90

Step 3: Drop the percentage marks to simplify your calculations: 100 / Y = 40 / 90

Step 4: Multiply both sides by Y to move Y on the right side of the equation: 100 = ( 40 / 90 ) Y

Step 5: Simplifying the right side, we get: 100 = 40 Y

Step 6: Dividing both sides of the equation by 40, we will arrive at 225 = Y

This leaves us with our final answer: 90 is 40 percent of 225

Percentage Table

90 is 40 percent of 225
90.01 is 40 percent of 225.025
90.02 is 40 percent of 225.05
90.03 is 40 percent of 225.075
90.04 is 40 percent of 225.1
90.05 is 40 percent of 225.125
90.06 is 40 percent of 225.15
90.07 is 40 percent of 225.175
90.08 is 40 percent of 225.2
90.09 is 40 percent of 225.225
90.1 is 40 percent of 225.25
90.11 is 40 percent of 225.275
90.12 is 40 percent of 225.3
90.13 is 40 percent of 225.325
90.14 is 40 percent of 225.35
90.15 is 40 percent of 225.375
90.16 is 40 percent of 225.4
90.17 is 40 percent of 225.425
90.18 is 40 percent of 225.45
90.19 is 40 percent of 225.475
90.2 is 40 percent of 225.5
90.21 is 40 percent of 225.525
90.22 is 40 percent of 225.55
90.23 is 40 percent of 225.575
90.24 is 40 percent of 225.6
90.25 is 40 percent of 225.625
90.26 is 40 percent of 225.65
90.27 is 40 percent of 225.675
90.28 is 40 percent of 225.7
90.29 is 40 percent of 225.725
90.3 is 40 percent of 225.75
90.31 is 40 percent of 225.775
90.32 is 40 percent of 225.8
90.33 is 40 percent of 225.825
90.34 is 40 percent of 225.85
90.35 is 40 percent of 225.875
90.36 is 40 percent of 225.9
90.37 is 40 percent of 225.925
90.38 is 40 percent of 225.95
90.39 is 40 percent of 225.975
90.4 is 40 percent of 226
90.41 is 40 percent of 226.025
90.42 is 40 percent of 226.05
90.43 is 40 percent of 226.075
90.44 is 40 percent of 226.1
90.45 is 40 percent of 226.125
90.46 is 40 percent of 226.15
90.47 is 40 percent of 226.175
90.48 is 40 percent of 226.2
90.49 is 40 percent of 226.225
90.5 is 40 percent of 226.25
90.51 is 40 percent of 226.275
90.52 is 40 percent of 226.3
90.53 is 40 percent of 226.325
90.54 is 40 percent of 226.35
90.55 is 40 percent of 226.375
90.56 is 40 percent of 226.4
90.57 is 40 percent of 226.425
90.58 is 40 percent of 226.45
90.59 is 40 percent of 226.475
90.6 is 40 percent of 226.5
90.61 is 40 percent of 226.525
90.62 is 40 percent of 226.55
90.63 is 40 percent of 226.575
90.64 is 40 percent of 226.6
90.65 is 40 percent of 226.625
90.66 is 40 percent of 226.65
90.67 is 40 percent of 226.675
90.68 is 40 percent of 226.7
90.69 is 40 percent of 226.725
90.7 is 40 percent of 226.75
90.71 is 40 percent of 226.775
90.72 is 40 percent of 226.8
90.73 is 40 percent of 226.825
90.74 is 40 percent of 226.85
90.75 is 40 percent of 226.875
90.76 is 40 percent of 226.9
90.77 is 40 percent of 226.925
90.78 is 40 percent of 226.95
90.79 is 40 percent of 226.975
90.8 is 40 percent of 227
90.81 is 40 percent of 227.025
90.82 is 40 percent of 227.05
90.83 is 40 percent of 227.075
90.84 is 40 percent of 227.1
90.85 is 40 percent of 227.125
90.86 is 40 percent of 227.15
90.87 is 40 percent of 227.175
90.88 is 40 percent of 227.2
90.89 is 40 percent of 227.225
90.9 is 40 percent of 227.25
90.91 is 40 percent of 227.275
90.92 is 40 percent of 227.3
90.93 is 40 percent of 227.325
90.94 is 40 percent of 227.35
90.95 is 40 percent of 227.375
90.96 is 40 percent of 227.4
90.97 is 40 percent of 227.425
90.98 is 40 percent of 227.45
90.99 is 40 percent of 227.475