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

We already have our an initial value 60 and the second value 40. Let"s assume the unknown worth 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 required values we need, currently we can put them in a simple mathematical formula together below:

STEP 160 = 40% × Y

STEP 260 = 40/100× Y

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

STEP 3Y = 60 × 100/40

STEP 4Y = 60 × 100 ÷ 40

STEP 5Y = 150

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

You can easily calculate 60 is 40 percent the what number through using any kind of regular calculator, simply enter 60 × 100 ÷ 40 and also you will obtain your answer which is 150

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Sample questions, answers, and also how to

Question: her friend has actually a bag the marbles, and also he speak you the 40 percent of the marbles space red. If there room 60 red marbles. How countless marbles walk he have actually altogether?

Answer: 150 marbles.

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

So, that way that it need to be the total that"s missing. Here is the means to figure out what the total is:

Part/Total = Percent/100

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

Part × 100/Percent = Total

If us take the "Part" and multiply the by 100, and also then we divide that by the "Percent", we will gain 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 know that the "Part" (red marbles) is 60.

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

60 × 100 = 6000

In step two, we take that 6000 and divide the by the "Percent", which we room told is 40.

So, 6000 divided by 40 = 150

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

Question: A high school marching band has actually 60 flute players, If 40 percent of the tape members beat the flute, climate how countless members space in the band?

Answer: There space 150 members in the band.

How To: The smaller "Part" in this problem is 60 due to the fact that there room 60 flute players and also we are told the they consist of 40 percent the the band, for this reason the "Percent" is 40.

Again, it"s the "Total" that"s absent here, and to uncover it, we simply need to monitor our 2 step procedure as the ahead problem.

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

60 × 100 = 6000

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

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6000 separated by 40 amounts to 150

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

Another action by step method

Let"s i think the unknown worth is Y

First creating 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 relocate Y ~ above the best side of the equation: 100 = ( 40 / 60 ) Y