Step by action solution for calculating 240 is 150 percent the what number

We already have our very first value 240 and also the second value 150. Let\"s assume the unknown worth is Y i m sorry answer we will find out.

You are watching: 150 is what percentage of 240?

As we have all the forced values we need, currently we have the right to put lock in a basic mathematical formula as below:

STEP 1 240 = 150% × Y

STEP 2 240 = 150/100× Y

Multiplying both sides by 100 and dividing both sides of the equation through 150 we will certainly arrive at:

STEP 3 Y = 240 × 100/150

STEP 4 Y = 240 × 100 ÷ 150

STEP 5 Y = 160

Finally, we have uncovered the worth of Y i beg your pardon is 160 and also that is our answer.

You can quickly calculate 240 is 150 percent of what number by using any kind of regular calculator, simply go into 240 × 100 ÷ 150 and you will get your answer i beg your pardon is 160

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Sample questions, answers, and also how to

Question: your friend has a bag that marbles, and he speak you that 150 percent that the marbles room red. If there room 240 red marbles. How plenty of marbles go he have altogether?

Answer: 160 marbles.

How To: In this problem, we recognize that the Percent is 150, and we are also told that the part of the marbles is red, so we recognize that the component is 240.

So, that means that it should be the complete that\"s missing. Right here is the way to figure out what the complete is:

Part/Total = Percent/100

By using a an easy algebra we can re-arrange ours Percent equation like this:

Part × 100/Percent = Total

If us take the \"Part\" and multiply the by 100, and also then we divide that by the \"Percent\", us will obtain the \"Total\".

Let\"s shot it the end on our problem about the marbles, that\"s very simple and it\"s just two steps! We understand that the \"Part\" (red marbles) is 240.

So action one is to simply multiply that part by 100.

240 × 100 = 24000

In action two, we take the 24000 and divide it by the \"Percent\", i beg your pardon we are told is 150.

So, 24000 divided by 150 = 160

And that way that the total number of marbles is 160.

Question: A high institution marching band has actually 240 flute players, If 150 percent of the tape members pat the flute, then how countless members space in the band?

Answer: There space 160 members in the band.

How To: The smaller \"Part\" in this difficulty is 240 because there space 240 flute players and we are told the they make up 150 percent that the band, so the \"Percent\" is 150.

Again, it\"s the \"Total\" that\"s missing here, and also to find it, we just need to monitor our 2 action procedure together the vault problem.

For action one, us multiply the \"Part\" by 100.

240 × 100 = 24000

For action two, we divide that 24000 by the \"Percent\", i m sorry is 150.

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24000 split by 150 equates to 160

That means that the total variety of band members is 160.

Have time and also want to discover the calculation?

Let\"s i think the unknown worth is Y

First writing it as: 100% / Y = 150% / 240

Drop the percentage marks to simplify your calculations: 100 / Y = 150 / 240

Multiply both political parties by Y to relocate Y ~ above the ideal side the the equation: 100 = ( 150 / 240 ) Y