Step by step solution because that calculating 600 is 15 percent the what number

We currently have our very first value 600 and also the second value 15. Let"s i think the unknown value is Y which answer us will uncover out.

You are watching: 600 is 15 percent of what number

As we have all the required values us need, currently we have the right to put them in a an easy mathematical formula as below:

STEP 1600 = 15% × Y

STEP 2600 = 15/100× Y

Multiplying both sides by 100 and also dividing both sides of the equation by 15 we will certainly arrive at:

STEP 3Y = 600 × 100/15

STEP 4Y = 600 × 100 ÷ 15

STEP 5Y = 4000

Finally, we have found the worth of Y which is 4000 and that is our answer.

You can conveniently calculate 600 is 15 percent of what number through using any type of regular calculator, simply go into 600 × 100 ÷ 15 and also you will gain your answer i m sorry is 4000


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Sample questions, answers, and how to

Question: your friend has actually a bag that marbles, and he speak you that 15 percent of the marbles are red. If there space 600 red marbles. How countless marbles does he have altogether?

Answer: 4000 marbles.

How To: In this problem, we recognize that the Percent is 15, and also we are likewise told the the component of the marbles is red, therefore we understand that the component is 600.

So, that means that it must be the complete that"s missing. Below is the method to number out what the total is:

Part/Total = Percent/100

By using a an easy algebra we have the right to re-arrange our Percent equation choose this:

Part × 100/Percent = Total

If we take the "Part" and also multiply that by 100, and also then we division that by the "Percent", us will acquire the "Total".

Let"s shot it the end on our problem around the marbles, that"s very simple and it"s simply two steps! We recognize that the "Part" (red marbles) is 600.

So step one is to simply multiply that component by 100.

600 × 100 = 60000

In action two, we take that 60000 and also divide it by the "Percent", i beg your pardon we are told is 15.

So, 60000 separated by 15 = 4000

And that means that the total variety of marbles is 4000.

Question: A high school marching band has 600 flute players, If 15 percent the the band members pat the flute, then how countless members room in the band?

Answer: There are 4000 members in the band.

How To: The smaller "Part" in this difficulty is 600 because there room 600 flute players and we are told that they consist of 15 percent of the band, for this reason the "Percent" is 15.

Again, it"s the "Total" that"s lacking here, and also to uncover it, we just need to follow our 2 step procedure as the previous problem.

For step one, we multiply the "Part" by 100.

600 × 100 = 60000

For action two, we division that 60000 through the "Percent", i m sorry is 15.

See more: Is There An Anime Channel On Dish Network And What Channel Is Anime On Dish ?

60000 divided by 15 equates to 4000

That method that the total number of band members is 4000.

Another action by action method

Step 1: Let"s i think the unknown value is Y

Step 2: an initial writing that as: 100% / Y = 15% / 600

Step 3: fall the portion marks to simplify your calculations: 100 / Y = 15 / 600

Step 4: multiply both political parties by Y to relocate Y top top the best side the the equation: 100 = ( 15 / 600 ) Y

Step 5: simplifying the ideal side, us get: 100 = 15 Y

Step 6: dividing both political parties of the equation by 15, we will arrive in ~ 4000 = Y

This pipeline us with our final answer: 600 is 15 percent the 4000


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