Step by action solution for calculating 63 is 150 percent the what number

We already have our first value 63 and also the second value 150. Let"s assume the unknown worth is Y i m sorry answer us will find out.

You are watching: What number is 42 of 150

As we have actually all the forced values us need, currently we can put castle in a simple mathematical formula as below:

STEP 163 = 150% × Y

STEP 263 = 150/100× Y

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

STEP 3Y = 63 × 100/150

STEP 4Y = 63 × 100 ÷ 150

STEP 5Y = 42

Finally, we have found the value of Y i beg your pardon is 42 and that is ours answer.

You can quickly calculate 63 is 150 percent that what number by using any kind of regular calculator, simply enter 63 × 100 ÷ 150 and also you will acquire your answer i beg your pardon is 42

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Sample questions, answers, and also how to

Question: your friend has actually a bag that marbles, and also he speak you that 150 percent of the marbles space red. If there space 63 red marbles. How many marbles go he have actually altogether?

Answer: 42 marbles.

How To: In this problem, we know that the Percent is 150, and also we are also told the the component of the marbles is red, for this reason we recognize that the part is 63.

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

Part/Total = Percent/100

By making use of a basic algebra we can re-arrange our Percent equation choose this:

Part × 100/Percent = Total

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

Let"s shot it the end on our problem about the marbles, that"s very straightforward and it"s simply two steps! We know that the "Part" (red marbles) is 63.

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

63 × 100 = 6300

In action two, us take that 6300 and also divide it by the "Percent", which we space told is 150.

So, 6300 split by 150 = 42

And that method that the total variety of marbles is 42.

Question: A high institution marching band has 63 flute players, If 150 percent that the band members play the flute, climate how many members room in the band?

Answer: There are 42 members in the band.

How To: The smaller "Part" in this difficulty is 63 due to the fact that there are 63 flute players and also we room told that they comprise 150 percent that the band, for this reason the "Percent" is 150.

Again, it"s the "Total" that"s absent here, and to find it, we simply need to follow our 2 step procedure as the vault problem.

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

63 × 100 = 6300

For action two, we divide that 6300 by the "Percent", which is 150.

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6300 split by 150 equates to 42

That way that the total variety of band members is 42.

Another step by action method

Let"s assume the unknown worth is Y

First composing it as: 100% / Y = 150% / 63

Drop the percent marks to leveling your calculations: 100 / Y = 150 / 63

Multiply both political parties by Y to move Y top top the ideal side the the equation: 100 = ( 150 / 63 ) Y