## Step by action solution because that calculating 48 is 75 percent of what number

We currently have our very first value **48** and also the second value **75**. Let"s i think the unknown worth is **Y** which answer we will uncover out.

You are watching: 48 is 75% of what number

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

STEP 1 48 = 75% × Y

STEP 2 48 = 75/100× Y

Multiplying both sides by 100 and also dividing both political parties of the equation through 75 we will certainly arrive at:

STEP 3 Y = 48 × 100/75

STEP 4 Y = 48 × 100 ÷ 75

STEP 5 Y = 64

Finally, we have found the worth of Y i beg your pardon is 64 and that is ours answer.

You can easily calculate **48 is 75 percent that what number** by using any regular calculator, simply go into **48 × 100 ÷ 75** and you will acquire your answer which is **64**

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## Sample questions, answers, and how to

**Question:** your friend has a bag the marbles, and also he speak you that 75 percent the the marbles space red. If there room 48 red marbles. How numerous marbles does he have altogether?

**Answer:** 64 marbles.

**How To:** In this problem, we understand that the Percent is 75, and we are likewise told the the part of the marbles is red, so we know that the component is 48.

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

Part/Total = Percent/100

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

Part × 100/Percent = Total

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

Let"s shot it the end on our problem about the marbles, that"s very straightforward and it"s simply two steps! We recognize that the "Part" (red marbles) is 48.

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

48 × 100 = 4800

In action two, us take the 4800 and divide that by the "Percent", i beg your pardon we are told is 75.

So, 4800 separated by 75 = 64

And that means that the total variety of marbles is 64.

**Question:** A high institution marching band has 48 flute players, If 75 percent that the tape members pat the flute, then how numerous members space in the band?

**Answer:** There are 64 members in the band.

**How To:** The smaller sized "Part" in this problem is 48 because there room 48 flute players and also 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 lacking here, and to uncover it, we simply need to follow our 2 step procedure together the previous problem.

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

48 × 100 = 4800

For action two, we division that 4800 by the "Percent", i m sorry is 75.

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4800 split by 75 amounts to 64

That method that the total number of band members is 64.

## Have time and want to learn the calculation?

Let"s i think the unknown value is **Y**

First creating it as: **100% / Y = 75% / 48**

Drop the percent marks to simplify your calculations: **100 / Y = 75 / 48**

Multiply both sides by Y to move Y on the ideal side of the equation: **100 = ( 75 / 48 ) Y**