Step by action solution because that calculating 60 is 40 percent the what number

We currently have our very first value 60 and also the 2nd value 40. Let"s i think the unknown value is Y i beg your pardon answer we will uncover out.

You are watching: Forty percent of what number is 60

As we have actually all the forced values us need, now we can put castle in a straightforward mathematical formula together below:

STEP 1 60 = 40% × Y

STEP 2 60 = 40/100× Y

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

STEP 3 Y = 60 × 100/40

STEP 4 Y = 60 × 100 ÷ 40

STEP 5 Y = 150

Finally, us have discovered the value of Y i beg your pardon is 150 and that is ours answer.

You can easily calculate 60 is 40 percent of what number through using any type of regular calculator, simply enter 60 × 100 ÷ 40 and you will obtain your answer i m sorry is 150

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Sample questions, answers, and also how to

Question: your friend has a bag the marbles, and he speak you the 40 percent the the marbles are red. If there room 60 red marbles. How plenty of marbles does he have actually altogether?

Answer: 150 marbles.

How To: In this problem, we know that the Percent is 40, and also we are additionally told that the component of the marbles is red, for this reason we know that the part is 60.

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

Part/Total = Percent/100

By making use of a simple algebra we have the right to re-arrange our Percent equation favor this:

Part × 100/Percent = Total

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

Let"s try it the end on our problem about the marbles, that"s very an easy and it"s just two steps! We understand that the "Part" (red marbles) is 60.

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

60 × 100 = 6000

In action two, we take that 6000 and divide it by the "Percent", i m sorry we room told is 40.

So, 6000 separated by 40 = 150

And that method that the total variety of marbles is 150.

Question: A high college marching band has 60 flute players, If 40 percent of the band members play the flute, climate how many members are in the band?

Answer: There are 150 members in the band.

How To: The smaller sized "Part" in this difficulty is 60 because there room 60 flute players and also we room told that they make up 40 percent that the band, for this reason the "Percent" is 40.

Again, it"s the "Total" that"s missing here, and also to uncover it, we simply need to monitor our 2 action procedure as the previous problem.

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

60 × 100 = 6000

For action two, we divide that 6000 through the "Percent", i m sorry is 40.

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6000 split by 40 amounts to 150

That way that the total number of band members is 150.

Have time and want to find out the calculation?

Let"s i think the unknown value is Y

First composing it as: 100% / Y = 40% / 60

Drop the percentage marks to simplify your calculations: 100 / Y = 40 / 60

Multiply both political parties by Y to move Y on the best side the the equation: 100 = ( 40 / 60 ) Y