Step by action solution because that calculating 48 is 40 percent that what number

We currently have our very first value 48 and the second value 40. Let"s i think the unknown value is Y which answer us will find out.

You are watching: 120 is 40 of what number

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

STEP 148 = 40% × Y

STEP 248 = 40/100× Y

Multiplying both sides by 100 and also dividing both political parties of the equation through 40 we will certainly arrive at:

STEP 3Y = 48 × 100/40

STEP 4Y = 48 × 100 ÷ 40

STEP 5Y = 120

Finally, us have discovered the worth of Y i beg your pardon is 120 and also that is ours answer.

You can easily calculate 48 is 40 percent that what number through using any type of regular calculator, simply go into 48 × 100 ÷ 40 and you will get your answer i beg your pardon is 120

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percent of what number

Sample questions, answers, and how to

Question: her friend has actually a bag that marbles, and he speak you the 40 percent that the marbles room red. If there room 48 red marbles. How many marbles walk he have altogether?

Answer: 120 marbles.

How To: In this problem, we recognize that the Percent is 40, and we are also told that the component of the marbles is red, for this reason we recognize that the component is 48.

So, that means that it have to be the total that"s missing. Here is the way to number out what the full is:

Part/Total = Percent/100

By utilizing a basic algebra we have the right to re-arrange ours Percent equation choose this:

Part × 100/Percent = Total

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

Let"s try it the end on our problem around the marbles, that"s very straightforward and it"s simply two steps! We recognize that the "Part" (red marbles) is 48.

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

48 × 100 = 4800

In action two, us take the 4800 and also divide that by the "Percent", which we room told is 40.

So, 4800 split by 40 = 120

And that means that the total variety of marbles is 120.

Question: A high institution marching band has 48 flute players, If 40 percent that the band members pat the flute, then how many members space in the band?

Answer: There are 120 members in the band.

How To: The smaller "Part" in this problem is 48 because there space 48 flute players and also we room told that they make up 40 percent that the band, therefore the "Percent" is 40.

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

48 × 100 = 4800

For action two, we divide that 4800 by the "Percent", which is 40.

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4800 separated by 40 equals 120

That method that the total number of band members is 120.

Another action by step method

Let"s assume the unknown value is Y

First creating it as: 100% / Y = 40% / 48

Drop the percentage marks to leveling your calculations: 100 / Y = 40 / 48

Multiply both sides by Y to move Y on the appropriate side that the equation: 100 = ( 40 / 48 ) Y