85 is 20 of what number

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20 is 85% of What Number? - 20 is 85% of 23.53. 100% of 23.53 is 23.53, therefore 85 percent of 23.53 equals 20. To learn how to solve 20 is 85 percent of what number, see the step by step instructions below.

Following shows the steps on how to derive this formula and find out 85% of what number is 20.
Step 1: If 85% of a number is 20, then what is 100% of that number? Setup the equation.

Step 2: Solve for Y
Using cross multiplication of two fractions, we get
85Y = 20 x 100
85Y = 2000

What is % of ? =

20 is 84 percent of what number
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Problem: 85 is 20 percent of what number?

Solution:

One way to calculate percentages is to use this general percentage formula:

If you know any two values of the formula, you can calculate the third one. In this example, you know the 'part' (85) and the 'percentage' (20%). So, you can find the 'whole'.

By replacing the given values in the formula, you get:

Cross-multiply:

20 × whole = 85 × 100

Divide by 20 and get the whole:

85 is x percent of what chart

Above, we have a grafical representation using strip diagrams (or percent bars) of 85 is x percent of what, where x ranges from 1 to 100%, for your reference.

If you take 20 percent of a number and get 85, then what is that number? In other words, you know that 20 percent of a number is 85 and you want to know what that initial number is.

To solve this problem you multiply 85 by 100 and then divide the total by 20 as follows: (85 x 100) / 20

When we put that into our calculator, we get the following answer:

425

Therefore, the answer to "85 is 20 percent of what number?" is 425, and you can also derive that 20 percent of 425 equals 85.

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Enter another problem below for us to solve:

Step by step solution for calculating 85 is 20 percent of what number

We already have our first value 85 and the second value 20. 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 185 = 20% × Y

STEP 285 = 20/100× Y

Multiplying both sides by 100 and dividing both sides of the equation by 20 we will arrive at:

STEP 3Y = 85 × 100/20

STEP 4Y = 85 × 100 ÷ 20

STEP 5Y = 425

Finally, we have found the value of Y which is 425 and that is our answer.

You can easily calculate 85 is 20 percent of what number by using any regular calculator, simply enter 85 × 100 ÷ 20 and you will get your answer which is 425

Here is a Percentage Calculator to solve similar calculations such as 85 is 20 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.

Sample questions, answers, and how to

Question: Your friend has a bag of marbles, and he tells you that 20 percent of the marbles are red. If there are 85 red marbles. How many marbles does he have altogether?

Answer: 425 marbles.

How To: In this problem, we know that the Percent is 20, and we are also told that the Part of the marbles is red, so we know that the Part is 85.

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 85.

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

85 × 100 = 8500

In step two, we take that 8500 and divide it by the "Percent", which we are told is 20.

So, 8500 divided by 20 = 425

And that means that the total number of marbles is 425.

Question: A high school marching band has 85 flute players, If 20 percent of the band members play the flute, then how many members are in the band?

Answer: There are 425 members in the band.

How To: The smaller "Part" in this problem is 85 since there are 85 flute players and we are told that they make up 20 percent of the band, so the "Percent" is 20.

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.

85 × 100 = 8500

For step two, we divide that 8500 by the "Percent", which is 20.

8500 divided by 20 equals 425

That means that the total number of band members is 425.

Another step by step method

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

Step 2: First writing it as: 100% / Y = 20% / 85

Step 3: Drop the percentage marks to simplify your calculations: 100 / Y = 20 / 85

Step 4: Multiply both sides by Y to move Y on the right side of the equation: 100 = ( 20 / 85 ) Y

Step 5: Simplifying the right side, we get: 100 = 20 Y

Step 6: Dividing both sides of the equation by 20, we will arrive at 425 = Y

This leaves us with our final answer: 85 is 20 percent of 425

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