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

We currently have our first value **42** and also the second value **70**. Let"s i think the unknown value is **Y** i beg your pardon answer we will find out.

You are watching: 42 is 70 percent of what number

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

STEP 142 = 70% × Y

STEP 242 = 70/100× Y

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

STEP 3Y = 42 × 100/70

STEP 4Y = 42 × 100 ÷ 70

STEP 5Y = 60

Finally, we have discovered the value of Y i beg your pardon is 60 and also that is ours answer.

You can conveniently calculate **42 is 70 percent that what number** through using any type of regular calculator, simply enter **42 × 100 ÷ 70** and you will acquire your answer i beg your pardon is **60**

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## Sample questions, answers, and how to

**Question:** your friend has a bag the marbles, and he tells you that 70 percent the the marbles space red. If there room 42 red marbles. How many marbles does he have actually altogether?

**Answer:** 60 marbles.

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

So, that means that it have to be the total that"s missing. Below is the means to number out what the full is:

Part/Total = Percent/100

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

Part × 100/Percent = Total

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

Let"s try it out on our problem around the marbles, that"s very straightforward and it"s just two steps! We recognize that the "Part" (red marbles) is 42.

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

42 × 100 = 4200

In step two, us take the 4200 and divide the by the "Percent", i m sorry we space told is 70.

So, 4200 split by 70 = 60

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

**Question:** A high school marching band has actually 42 flute players, If 70 percent of the tape members beat the flute, then how plenty of members space in the band?

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

**How To:** The smaller sized "Part" in this problem is 42 since there space 42 flute players and also we are told that they make up 70 percent of the band, therefore the "Percent" is 70.

Again, it"s the "Total" that"s lacking here, and to find it, we just need to monitor our 2 action procedure together the ahead problem.

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

42 × 100 = 4200

For action two, we division that 4200 by the "Percent", which is 70.

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4200 separated by 70 amounts to 60

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

## Another action by step method

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

First creating it as: **100% / Y = 70% / 42**

Drop the percentage marks to leveling your calculations: **100 / Y = 70 / 42**

Multiply both political parties by Y to relocate Y top top the best side the the equation: **100 = ( 70 / 42 ) Y**