## Step by step solution for calculating 49 is 7 percent of what number

We already have our first value 49 and the second value 7. Let"s assume the unknown value is Y which answer we will find out.

You are watching: 49 is 7% of what number?

As we have all the required values we need, Now we can put them in a simple mathematical formula as below:

STEP 1 49 = 7% × Y

STEP 2 49 = 7/100× Y

Multiplying both sides by 100 and dividing both sides of the equation by 7 we will arrive at:

STEP 3 Y = 49 × 100/7

STEP 4 Y = 49 × 100 ÷ 7

STEP 5 Y = 700

Finally, we have found the value of Y which is 700 and that is our answer.

You can easily calculate 49 is 7 percent of what number by using any regular calculator, simply enter 49 × 100 ÷ 7 and you will get your answer which is 700

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## Sample questions, answers, and how to

Question: Your friend has a bag of marbles, and he tells you that 7 percent of the marbles are red. If there are 49 red marbles. How many marbles does he have altogether?

How To: In this problem, we know that the Percent is 7, and we are also told that the Part of the marbles is red, so we know that the Part is 49.

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 49.

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

49 × 100 = 4900

In step two, we take that 4900 and divide it by the "Percent", which we are told is 7.

So, 4900 divided by 7 = 700

And that means that the total number of marbles is 700.

Question: A high school marching band has 49 flute players, If 7 percent of the band members play the flute, then how many members are in the band?

Answer: There are 700 members in the band.

How To: The smaller "Part" in this problem is 49 since there are 49 flute players and we are told that they make up 7 percent of the band, so the "Percent" is 7.

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.

49 × 100 = 4900

For step two, we divide that 4900 by the "Percent", which is 7.

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4900 divided by 7 equals 700

That means that the total number of band members is 700.

## Have time and want to learn the calculation?

Let"s assume the unknown value is Y

First writing it as: 100% / Y = 7% / 49

Drop the percentage marks to simplify your calculations: 100 / Y = 7 / 49

Multiply both sides by Y to move Y on the right side of the equation: 100 = ( 7 / 49 ) Y