Step by step solution for calculating 270 is 90 percent the what number

We currently have our very first value 270 and the 2nd value 90. Let"s i think the unknown value is Y i m sorry answer we will uncover out.

You are watching: 270 is 90 of what number

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

STEP 1270 = 90% × Y

STEP 2270 = 90/100× Y

Multiplying both political parties by 100 and also dividing both political parties of the equation by 90 we will arrive at:

STEP 3Y = 270 × 100/90

STEP 4Y = 270 × 100 ÷ 90

STEP 5Y = 300

Finally, us have discovered the worth of Y which is 300 and that is our answer.

You can easily calculate 270 is 90 percent of what number through using any kind of regular calculator, simply enter 270 × 100 ÷ 90 and also you will acquire your answer i beg your pardon is 300


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Sample questions, answers, and also how to

Question: her friend has actually a bag of marbles, and he tells you the 90 percent that the marbles room red. If there room 270 red marbles. How plenty of marbles go he have altogether?

Answer: 300 marbles.

How To: In this problem, we know that the Percent is 90, and also we are also told that the part of the marbles is red, for this reason we know that the part is 270.

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

Part/Total = Percent/100

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

Part × 100/Percent = Total

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

Let"s shot it out on our problem around the marbles, that"s very straightforward and it"s just two steps! We know that the "Part" (red marbles) is 270.

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

270 × 100 = 27000

In step two, us take the 27000 and also divide that by the "Percent", i beg your pardon we are told is 90.

So, 27000 separated by 90 = 300

And that way that the total variety of marbles is 300.

Question: A high school marching band has actually 270 flute players, If 90 percent of the band members play the flute, then how many members space in the band?

Answer: There are 300 members in the band.

How To: The smaller "Part" in this difficulty is 270 since there space 270 flute players and also we room told that they consist of 90 percent of the band, therefore the "Percent" is 90.

Again, it"s the "Total" that"s absent here, and also to discover it, we simply need to follow our 2 step procedure together the vault problem.

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

270 × 100 = 27000

For step two, we divide that 27000 by the "Percent", which is 90.

See more: How Far Is Charleston Sc From Greensboro Nc E (Gso To Chs), Distance From Charleston, Sc To Greensboro, Nc

27000 separated by 90 equates to 300

That way that the total variety of band members is 300.

Another action by action method

Step 1: Let"s assume the unknown value is Y

Step 2: very first writing that as: 100% / Y = 90% / 270

Step 3: drop the percent marks to leveling your calculations: 100 / Y = 90 / 270

Step 4: main point both political parties by Y to move Y top top the appropriate side of the equation: 100 = ( 90 / 270 ) Y

Step 5: simple the appropriate side, us get: 100 = 90 Y

Step 6: separating both political parties of the equation through 90, we will arrive at 300 = Y

This pipeline us with our final answer: 270 is 90 percent the 300


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