## Step by action solution because that calculating 42 is 70 percent of what number

We currently have our an initial value **42** and the 2nd value **70**. Let"s assume the unknown worth is **Y** i beg your pardon answer we will discover out.

You are watching: 42 is 70 percent of what number

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

STEP 142 = 70% × Y

STEP 242 = 70/100× Y

Multiplying both sides by 100 and also dividing both political parties of the equation by 70 we will arrive at:

STEP 3Y = 42 × 100/70

STEP 4Y = 42 × 100 ÷ 70

STEP 5Y = 60

Finally, us have found the worth of Y i beg your pardon is 60 and also that is our answer.

You can easily calculate **42 is 70 percent the what number** through using any type of regular calculator, simply go into **42 × 100 ÷ 70** and also you will get your answer i m sorry is **60**

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## Sample questions, answers, and how to

**Question:** your friend has a bag of marbles, and he speak you the 70 percent of the marbles are red. If there room 42 red marbles. How many marbles go he have actually altogether?

**Answer:** 60 marbles.

**How To:** In this problem, we understand that the Percent is 70, and also we are additionally told the the component of the marbles is red, for this reason we know that the component is 42.

So, that means that it must be the full that"s missing. Below is the method 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 ours Percent equation like this:

Part × 100/Percent = Total

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

Let"s try it the end on our problem around the marbles, that"s very basic and it"s simply two steps! We know that the "Part" (red marbles) is 42.

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

42 × 100 = 4200

In action two, we take the 4200 and divide it by the "Percent", i beg your pardon we are told is 70.

So, 4200 separated by 70 = 60

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

**Question:** A high college marching band has 42 flute players, If 70 percent of the band members play the flute, climate how plenty of members are in the band?

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

**How To:** The smaller sized "Part" in this trouble is 42 because there room 42 flute players and also we space told that they comprise 70 percent the the band, so the "Percent" is 70.

Again, it"s the "Total" that"s missing here, and also to find it, we just need to follow our 2 step procedure as the previous problem.

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

42 × 100 = 4200

For action two, we division that 4200 by the "Percent", i m sorry is 70.

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4200 divided by 70 equates to 60

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

## Another step by action method

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

**Step 2:** first writing it as: **100% / Y = 70% / 42**

**Step 3:** fall the percentage marks to leveling your calculations: **100 / Y = 70 / 42**

**Step 4:** main point both political parties by Y to relocate Y on the ideal side that the equation: **100 = ( 70 / 42 ) Y**

**Step 5:** simple the appropriate side, we get: **100 = 70 Y**

**Step 6:** splitting both sides of the equation through 70, we will arrive in ~ **60 = Y**

This leaves us v our final answer: **42 is 70 percent the 60**

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