Step by action solution for calculating 63 is 90 percent the what number

We already have our very first value 63 and the 2nd value 90. Let"s i think the unknown worth is Y i m sorry answer us will discover out.

You are watching: 63 is 90 percent of what number

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

STEP 1 63 = 90% × Y

STEP 2 63 = 90/100× Y

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

STEP 3 Y = 63 × 100/90

STEP 4 Y = 63 × 100 ÷ 90

STEP 5 Y = 70

Finally, we have discovered the value of Y which is 70 and also that is our answer.

You can conveniently calculate 63 is 90 percent the what number by using any kind of regular calculator, simply enter 63 × 100 ÷ 90 and also you will get your answer i beg your pardon is 70

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Sample questions, answers, and also how to

Question: your friend has a bag of marbles, and he speak you that 90 percent of the marbles room red. If there space 63 red marbles. How plenty of marbles go he have altogether?

Answer: 70 marbles.

How To: In this problem, we know that the Percent is 90, and also we are also told that the component of the marbles is red, so we recognize that the part is 63.

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

Part/Total = Percent/100

By utilizing a straightforward algebra we deserve to re-arrange ours Percent equation favor this:

Part × 100/Percent = Total

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

Let"s shot it the end on ours problem about the marbles, that"s very simple and it"s just two steps! We recognize that the "Part" (red marbles) is 63.

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

63 × 100 = 6300

In action two, us take the 6300 and divide that by the "Percent", i beg your pardon we room told is 90.

So, 6300 split by 90 = 70

And that method that the total variety of marbles is 70.

Question: A high school marching band has 63 flute players, If 90 percent the the tape members beat the flute, climate how plenty of members are in the band?

Answer: There room 70 members in the band.

How To: The smaller sized "Part" in this problem is 63 since there room 63 flute players and we are told the they comprise 90 percent of the band, for this reason the "Percent" is 90.

Again, it"s the "Total" that"s lacking here, and to uncover it, we simply need to monitor our 2 action procedure together the vault problem.

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

63 × 100 = 6300

For action two, we division that 6300 by the "Percent", i m sorry is 90.

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6300 split by 90 equals 70

That means that the total number of band members is 70.

Have time and want to learn the calculation?

Let"s assume the unknown value is Y

First creating it as: 100% / Y = 90% / 63

Drop the percent marks to simplify your calculations: 100 / Y = 90 / 63

Multiply both sides by Y to move Y top top the right side of the equation: 100 = ( 90 / 63 ) Y