Step by step solution for calculating 900 is 75 percent the what number

We currently have our first value 900 and the 2nd value 75. Let"s i think the unknown value is Y which answer us will find out.

You are watching: 900*.75

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

STEP 1900 = 75% × Y

STEP 2900 = 75/100× Y

Multiplying both sides by 100 and dividing both sides of the equation by 75 we will arrive at:

STEP 3Y = 900 × 100/75

STEP 4Y = 900 × 100 ÷ 75

STEP 5Y = 1200

Finally, us have discovered the value of Y which is 1200 and that is our answer.

You can conveniently calculate 900 is 75 percent the what number by using any regular calculator, simply go into 900 × 100 ÷ 75 and you will obtain your answer which is 1200

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Sample questions, answers, and how to

Question: her friend has actually a bag the marbles, and also he speak you that 75 percent of the marbles room red. If there space 900 red marbles. How numerous marbles walk he have actually altogether?

Answer: 1200 marbles.

How To: In this problem, we know that the Percent is 75, and also we are likewise told that the part of the marbles is red, so we understand that the component is 900.

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

Part/Total = Percent/100

By utilizing a an easy algebra we have the right to re-arrange our Percent equation favor this:

Part × 100/Percent = Total

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

Let"s try it the end on ours problem about the marbles, that"s very an easy and it"s just two steps! We know that the "Part" (red marbles) is 900.

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

900 × 100 = 90000

In action two, us take that 90000 and divide it by the "Percent", i m sorry we room told is 75.

So, 90000 separated by 75 = 1200

And that means that the total number of marbles is 1200.

Question: A high institution marching band has actually 900 flute players, If 75 percent of the tape members beat the flute, then how plenty of members room in the band?

Answer: There are 1200 members in the band.

How To: The smaller sized "Part" in this problem is 900 since there space 900 flute players and we are told that they make up 75 percent that the band, for this reason the "Percent" is 75.

Again, it"s the "Total" that"s absent here, and to uncover it, we just need to follow our 2 action procedure as the ahead problem.

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

900 × 100 = 90000

For step two, we divide that 90000 by the "Percent", which is 75.

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90000 split by 75 equates to 1200

That way that the total number of band members is 1200.

Another action by step method

Let"s assume the unknown worth is Y

First creating it as: 100% / Y = 75% / 900

Drop the portion marks to leveling your calculations: 100 / Y = 75 / 900

Multiply both political parties by Y to relocate Y ~ above the best side that the equation: 100 = ( 75 / 900 ) Y