## Step by step solution for calculating 96 is 160 percent of what number

We already have our very first value **96** and also the 2nd value **160**. Let"s assume the unknown value is **Y** which answer us will uncover out.

You are watching: 96 is 160 of what number

As we have all the compelled values we need, now we deserve to put lock in a simple mathematical formula as below:

STEP 196 = 160% × Y

STEP 296 = 160/100× Y

Multiplying both sides by 100 and dividing both sides of the equation by 160 we will arrive at:

STEP 3Y = 96 × 100/160

STEP 4Y = 96 × 100 ÷ 160

STEP 5Y = 60

Finally, we have found the value of Y which is 60 and that is our answer.

You can quickly calculate **96 is 160 percent the what number** by using any type of regular calculator, simply go into **96 × 100 ÷ 160** and you will acquire your answer i beg your pardon is **60**

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## Sample questions, answers, and also how to

**Question:** her friend has actually a bag of marbles, and also he speak you the 160 percent the the marbles space red. If there space 96 red marbles. How numerous marbles does he have altogether?

**Answer:** 60 marbles.

**How To:** In this problem, we know that the Percent is 160, and we are additionally told the the component of the marbles is red, therefore we know that the component is 96.

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

Part/Total = Percent/100

By using a basic algebra we have the right to re-arrange our Percent equation favor this:

Part × 100/Percent = Total

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

Let"s try it the end on our problem around the marbles, that"s very an easy and it"s just two steps! We recognize that the "Part" (red marbles) is 96.

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

96 × 100 = 9600

In action two, us take that 9600 and divide the by the "Percent", i beg your pardon we space told is 160.

So, 9600 split by 160 = 60

And that method that the total number of marbles is 60.

**Question:** A high institution marching band has 96 flute players, If 160 percent of the band members play the flute, climate how numerous members space in the band?

**Answer:** There space 60 members in the band.

**How To:** The smaller sized "Part" in this difficulty is 96 because there space 96 flute players and also we are told that they make up 160 percent of the band, for this reason the "Percent" is 160.

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

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

96 × 100 = 9600

For action two, we divide that 9600 through the "Percent", i m sorry is 160.

See more: What Is The Relationship Between Active Transport And Homeostasis

9600 divided by 160 equates to 60

That method that the total number of band members is 60.

## Another action by action method

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

**Step 2:** first writing that as: **100% / Y = 160% / 96**

**Step 3:** autumn the percent marks to leveling your calculations: **100 / Y = 160 / 96**

**Step 4:** multiply both political parties by Y to relocate Y on the right side that the equation: **100 = ( 160 / 96 ) Y**

**Step 5:** simplifying the right side, we get: **100 = 160 Y**

**Step 6:** dividing both political parties of the equation by 160, we will arrive in ~ **60 = Y**

This leaves us with our final answer: **96 is 160 percent the 60**

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