Question

How to convert each part of the ratio 2:1 into percentage?

Answer 1

Answer:

2:1 = 66.7% : 33.3%

Step-by-step explanation:

Since it is a ratio, it mean it have a constant from both side. For example:

2x:1x

If x=2

then 2(2):1(2)

⇒4:2

Or if x=3

then 2(3):1(3)

⇒6:3

Now, we want percentage. So it mean each side of ration must be add to 100.

Therefore 2x:1x=100

2x+1x=100

3x=100

x=100/3

x=33.33... (It's a repeating decimal)

It means:

2(33.33):1(33.33)

66.66:33.33

When we round off, it will be:

66.7%:33.3%

(Sorry for bad grammar)

Answer 2

Answer:

=> 2 : 1 = 200%

Step-by-step explanation:

Here it is given that,

We have to convert the ratio into the percentage,

Given ratio: $2:1$

For the conversion we must follow the steps:-

Step: 1 Express the given ratio in the form of a fraction.

Step: 2 Divide the fraction.

Step: 3 Multiply the resultant value with $100$ and then add the symbol of $\%$.

So, the given ratio is written as:

$=>2:1=\frac{2}{1}$

$=> \frac{2}{1}\times 100\\=> 2\times 100\\=> 200\%$

Therefore, $2:1 = 200\%.$