50 is 60 Percent of What?

50 is 60 percent of what?

Answer: 50 is 60 percent of 83.333. Alternatively, we can say that 83.333 is the number of which 50 is equivalent to 60%.

Solution for 50 is 60 percent of what:

50 = 60% of n

50 = \frac{60}{100} \times n

50 \times \frac{100}{60} = n

n = 50 \times \frac{100}{60}

n = \frac{50 \times 100}{60}

n = \frac{5000}{60}

n = 83.333

Now we have that 50 is 60% of 83.333. Alternatively, we can express it as 83.333 is the number of which 50 is 60%.

The step-by-step process for finding 50 is 60 percent of what:

The mathematical calculation of 50 is 60% of a number can be broken down as follows:

50 = 60% of n
Convert this into an equation: 50 = (60/100) * n
Rearrange the equation to solve for n: 50 * (100/60) = n
Simplify the equation further: n = 50 * (100/60) => (50 * 100)/60
Carry out the calculation: n = 5000 / 60
The final answer is: n = 83.333

Thus, we conclude that 50 is 60 percent of 83.333.

Explanation for 50 is 60 percent of what:

Step 1: Set up the equation

We start with the equation 50 is 60% of what number (n). This can be written as:

50 = 60% of n

Think of percent as parts out of 100. So, when we say 60 percent, it's like having 60 parts out of a total of 100. What we want to do now is find out what the total would be if 50 was equivalent to 60 parts instead of 100.

Step 2: Convert the percentage to a fraction and set up the equation

Next, we convert the percentage to a fraction and set up the equation. 60% becomes 60/100. This gives us:

50 = \frac{60}{100} \times n

This is like saying 50 is 60 parts (out of 100) of a total (n). We want to find out what that total (n) is.

Step 3: Rearrange the equation to solve for n

To solve for n, we need to get n on one side of the equation by itself. We can do this by multiplying both sides of the equation by (100/60):

n = 50 \times \frac{100}{60}

This is an alternative calculation. Instead of doing it in two steps like we did before, we can also do it in one step. First, we multiply 50 (our 50 parts) by (100/60) (the reciprocal of our percentage in decimal form).

Step 4: Simplify the equation

This simplifies to:

n = \frac{50 \times 100}{60}

Step 5: Perform the calculation

Performing the calculation gives us the final answer:

n = \frac{5000}{60}

n = 83.333

Finally, after dividing 5000 by 60, we arrive at the answer: 83.333. Hence, we can definitively say that 50 is 60% of 83.333.

This guide aims to simplify the understanding of percentage calculations, focusing on the question 50 is 60 percent of what. Keep practicing with different numbers to hone your skills in percentage calculations. We hope this helps you in your quest for better mathematical understanding.