What percentage is 60 out of 130? How do you solve this with and without a calculator?

To find what percentage 60 is of 130, you can use a simple formula. The basic equation to calculate percentage is:

Percentage (%) = (Part / Whole) × 100

In this case, the part is 60 and the whole is 130. Plugging in the numbers, the formula will look like this:

Percentage (%) = (60 / 130) × 100

Now, let’s calculate it step by step:

1. First, divide 60 by 130. When you do this, you get approximately 0.4615.
2. Next, multiply that result by 100 to convert it into a percentage:
3. 0.4615 × 100 = 46.15

So, 60 out of 130 is approximately 46.15%.

To solve this without a calculator, you would follow the same steps, but you might do the division manually. Start by simplifying the fraction:

60 and 130 can both be divided by 10, yielding:

Percentage (%) = (6 / 13) × 100

Now, it’s easier to perform the division by estimating:

1. 13 goes into 60 approximately 4 times, which gives you 52. The difference is 8.
2. This means about 4 times 1 gives you 30, so you can see that 6/13 is just under 0.5.
3. When you multiply by 100, you get a rough estimate of around 46-47%.

This confirms that the percentage we calculated earlier was correct. Thus, 60 out of 130 is approximately 46.15%.