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

We currently have our very first value 240 and the 2nd value 150. Let"s i think the unknown value is Y i beg your pardon answer we will discover out.

You are watching: 150 is what percentage of 240

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

STEP 1 240 = 150% × Y

STEP 2 240 = 150/100× Y

Multiplying both political parties by 100 and dividing both sides of the equation by 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 found the worth of Y i m sorry is 160 and that is our answer.

You can easily calculate 240 is 150 percent the what number by using any type of regular calculator, simply get in 240 × 100 ÷ 150 and you will acquire your answer which is 160

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Sample questions, answers, and how to

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

Answer: 160 marbles.

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

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

Part/Total = Percent/100

By using a straightforward algebra we have the right to re-arrange ours Percent equation like this:

Part × 100/Percent = Total

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

Let"s shot it out on our problem about the marbles, that"s very basic and it"s simply two steps! We know that the "Part" (red marbles) is 240.

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

240 × 100 = 24000

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

So, 24000 separated by 150 = 160

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

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

Answer: There are 160 members in the band.

How To: The smaller "Part" in this problem is 240 since there space 240 flute players and also we space told the they comprise 150 percent the the band, so the "Percent" is 150.

Again, it"s the "Total" that"s absent here, and to discover it, we simply need to monitor our 2 step procedure together the previous problem.

For step one, us multiply the "Part" through 100.

240 × 100 = 24000

For step two, we division that 24000 through the "Percent", i m sorry is 150.

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24000 divided by 150 equals 160

That method that the total number of band members is 160.

Have time and want to discover the calculation?

Let"s assume the unknown value is Y

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

Drop the portion marks to leveling your calculations: 100 / Y = 150 / 240

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