Question: 149 is 25 percent of what number?

Answer: 596

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

Step by step solution for calculating 149 is 25 percent of what number

We already have our first value 149 and the second value 25. 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 1149 = 25% × Y

STEP 2149 = 25/100× Y

Multiplying both sides by 100 and dividing both sides of the equation by 25 we will arrive at:

STEP 3Y = 149 × 100/25

STEP 4Y = 149 × 100 ÷ 25

STEP 5Y = 596

Finally, we have found the value of Y which is 596 and that is our answer.

You can easily calculate 149 is 25 percent of what number by using any regular calculator, simply enter 149 × 100 ÷ 25 and you will get your answer which is 596

Here is a Percentage Calculator to solve similar calculations such as 149 is 25 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 25 percent of the marbles are red. If there are 149 red marbles. How many marbles does he have altogether?

Answer: 596 marbles.

How To: In this problem, we know that the Percent is 25, and we are also told that the Part of the marbles is red, so we know that the Part is 149.

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 149.

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

149 × 100 = 14900

In step two, we take that 14900 and divide it by the "Percent", which we are told is 25.

So, 14900 divided by 25 = 596

And that means that the total number of marbles is 596.


Question: A high school marching band has 149 flute players, If 25 percent of the band members play the flute, then how many members are in the band?

Answer: There are 596 members in the band.

How To: The smaller "Part" in this problem is 149 since there are 149 flute players and we are told that they make up 25 percent of the band, so the "Percent" is 25.

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.

149 × 100 = 14900

For step two, we divide that 14900 by the "Percent", which is 25.

14900 divided by 25 equals 596

That means that the total number of band members is 596.

Another step by step method

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

Step 2: First writing it as: 100% / Y = 25% / 149

Step 3: Drop the percentage marks to simplify your calculations: 100 / Y = 25 / 149

Step 4: Multiply both sides by Y to move Y on the right side of the equation: 100 = ( 25 / 149 ) Y

Step 5: Simplifying the right side, we get: 100 = 25 Y

Step 6: Dividing both sides of the equation by 25, we will arrive at 596 = Y

This leaves us with our final answer: 149 is 25 percent of 596