Solved: 152 is 76 Percent of What Number? = 200

Step by step solution for calculating 152 is 76 percent of what number

We already have our first value 152 and the second value 76. 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 1152 = 76% × Y

STEP 2152 = 76/100× Y

Multiplying both sides by 100 and dividing both sides of the equation by 76 we will arrive at:

STEP 3Y = 152 × 100/76

STEP 4Y = 152 × 100 ÷ 76

STEP 5Y = 200

Finally, we have found the value of Y which is 200 and that is our answer.

You can easily calculate 152 is 76 percent of what number by using any regular calculator, simply enter 152 × 100 ÷ 76 and you will get your answer which is 200

Sample questions, answers, and how to

Question: Your friend has a bag of marbles, and he tells you that 76 percent of the marbles are red. If there are 152 red marbles. How many marbles does he have altogether?

Answer: 200 marbles.

How To: In this problem, we know that the Percent is 76, and we are also told that the Part of the marbles is red, so we know that the Part is 152.

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 152.

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

152 × 100 = 15200

In step two, we take that 15200 and divide it by the "Percent", which we are told is 76.

So, 15200 divided by 76 = 200

And that means that the total number of marbles is 200.

Question: A high school marching band has 152 flute players, If 76 percent of the band members play the flute, then how many members are in the band?

Answer: There are 200 members in the band.

How To: The smaller "Part" in this problem is 152 since there are 152 flute players and we are told that they make up 76 percent of the band, so the "Percent" is 76.

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.

152 × 100 = 15200

For step two, we divide that 15200 by the "Percent", which is 76.

15200 divided by 76 equals 200

That means that the total number of band members is 200.

Another step by step method

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

Step 2: First writing it as: 100% / Y = 76% / 152

Step 3: Drop the percentage marks to simplify your calculations: 100 / Y = 76 / 152

Step 4: Multiply both sides by Y to move Y on the right side of the equation: 100 = ( 76 / 152 ) Y

Step 5: Simplifying the right side, we get: 100 = 76 Y

Step 6: Dividing both sides of the equation by 76, we will arrive at 200 = Y

This leaves us with our final answer: 152 is 76 percent of 200

Question: 152 is 76 percent of what number?

Answer: 200

Step by step solution for calculating 152 is 76 percent of what number

Sample questions, answers, and how to

Another step by step method

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