Step by step solution because that calculating 50 is 40 percent the what number

We currently have our first value 50 and also the 2nd value 40. Let"s assume the unknown value is Y which answer we will uncover out.

You are watching: 50 is 40 of what number

As we have all the required values us need, currently we can put them in a basic mathematical formula together below:

STEP 150 = 40% × Y

STEP 250 = 40/100× Y

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

STEP 3Y = 50 × 100/40

STEP 4Y = 50 × 100 ÷ 40

STEP 5Y = 125

Finally, we have discovered the worth of Y which is 125 and also that is ours answer.

You can conveniently calculate 50 is 40 percent of what number through using any kind of regular calculator, simply get in 50 × 100 ÷ 40 and also you will obtain your answer i m sorry is 125

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Sample questions, answers, and also how to

Question: her friend has actually a bag that marbles, and he speak you that 40 percent that the marbles space red. If there space 50 red marbles. How countless marbles walk he have actually altogether?

Answer: 125 marbles.

How To: In this problem, we understand that the Percent is 40, and also we are additionally told the the part of the marbles is red, so we understand that the part is 50.

So, that way that it have to be the full that"s missing. Here is the method to figure out what the full is:

Part/Total = Percent/100

By utilizing a straightforward algebra we deserve to re-arrange our Percent equation prefer this:

Part × 100/Percent = Total

If we 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 ours problem about the marbles, that"s very basic and it"s just two steps! We recognize that the "Part" (red marbles) is 50.

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

50 × 100 = 5000

In step two, we take the 5000 and also divide the by the "Percent", i beg your pardon we room told is 40.

So, 5000 divided by 40 = 125

And that means that the total number of marbles is 125.

Question: A high college marching band has actually 50 flute players, If 40 percent the the band members play the flute, climate how numerous members space in the band?

Answer: There are 125 members in the band.

How To: The smaller sized "Part" in this difficulty is 50 since there room 50 flute players and also we are told that they make up 40 percent that the band, so the "Percent" is 40.

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

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

50 × 100 = 5000

For step two, we divide that 5000 by the "Percent", which is 40.

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5000 divided by 40 equals 125

That method that the total number of band members is 125.

Another step by step method

Let"s assume the unknown worth is Y

First writing it as: 100% / Y = 40% / 50

Drop the portion marks to leveling your calculations: 100 / Y = 40 / 50

Multiply both political parties by Y to relocate Y on the right side of the equation: 100 = ( 40 / 50 ) Y