## Step by step solution for calculating 49 is 70 percent of what number

We currently have our very first value **49** and the second value **70**. Let"s assume the unknown worth is **Y** which answer us will uncover out.

You are watching: 49 is 70 of what number

As we have all the compelled values us need, now we have the right to put castle in a straightforward mathematical formula as below:

STEP 149 = 70% × Y

STEP 249 = 70/100× Y

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

STEP 3Y = 49 × 100/70

STEP 4Y = 49 × 100 ÷ 70

STEP 5Y = 70

Finally, us have uncovered the worth of Y i beg your pardon is 70 and also that is our answer.

You can conveniently calculate **49 is 70 percent the what number** by using any type of regular calculator, simply go into **49 × 100 ÷ 70** and you will acquire your answer i m sorry is **70**

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## Sample questions, answers, and how to

**Question:** your friend has a bag that marbles, and also he speak you the 70 percent that the marbles space red. If there space 49 red marbles. How numerous marbles does he have actually altogether?

**Answer:** 70 marbles.

**How To:** In this problem, we recognize that the Percent is 70, and also we are additionally told the the part of the marbles is red, therefore we understand that the part is 49.

So, that method 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 simple algebra we can re-arrange our Percent equation prefer this:

Part × 100/Percent = Total

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

Let"s shot it out on our problem around the marbles, that"s very basic and it"s simply two steps! We know that the "Part" (red marbles) is 49.

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

49 × 100 = 4900

In step two, us take the 4900 and also divide the by the "Percent", i m sorry we are told is 70.

So, 4900 divided by 70 = 70

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

**Question:** A high college marching band has actually 49 flute players, If 70 percent that the band members pat the flute, then how many members are in the band?

**Answer:** There room 70 members in the band.

**How To:** The smaller sized "Part" in this difficulty is 49 due to the fact that there space 49 flute players and we are told the they consist of 70 percent of the band, for this reason the "Percent" is 70.

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

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

49 × 100 = 4900

For step two, we divide that 4900 by the "Percent", i beg your pardon is 70.

See more: How Much Is 750 Ml In Oz - How Many Ounces Are There In 750 Ml

4900 divided by 70 equals 70

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

## Another action by step method

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

**Step 2:** an initial writing the as: **100% / Y = 70% / 49**

**Step 3:** drop the percentage marks to simplify your calculations: **100 / Y = 70 / 49**

**Step 4:** multiply both sides by Y to move Y ~ above the ideal side that the equation: **100 = ( 70 / 49 ) Y**

**Step 5:** simplifying the ideal side, we get: **100 = 70 Y**

**Step 6:** dividing both sides of the equation by 70, we will arrive in ~ **70 = Y**

This leaves us through our last answer: **49 is 70 percent the 70**

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