20 is 1500 percent of what?
Answer: 20 is 1500 percent of 1.333. Alternatively, we can say that 1.333 is the number of which 20 is equivalent to 1500%.
Solution for 20 is 1500 percent of what:
Now we have that 20 is 1500% of 1.333. Alternatively, we can express it as 1.333 is the number of which 20 is 1500%.
The step-by-step process for finding 20 is 1500 percent of what:
The mathematical calculation of 20 is 1500% of a number can be broken down as follows:
- 20 = 1500% of n
- Convert this into an equation: 20 = (1500/100) * n
- Rearrange the equation to solve for n: 20 * (100/1500) = n
- Simplify the equation further: n = 20 * (100/1500) => (20 * 100)/1500
- Carry out the calculation: n = 2000 / 1500
- The final answer is: n = 1.333
Thus, we conclude that 20 is 1500 percent of 1.333.
Explanation for 20 is 1500 percent of what:
Step 1: Set up the equation
We start with the equation 20 is 1500% of what number (n). This can be written as:
Think of percent as parts out of 100. So, when we say 1500 percent, it's like having 1500 parts out of a total of 100. What we want to do now is find out what the total would be if 20 was equivalent to 1500 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. 1500% becomes 1500/100. This gives us:
This is like saying 20 is 1500 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 (100/1500):
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 20 (our 20 parts) by (100/1500) (the reciprocal of our percentage in decimal form).
Step 4: Simplify the equation
This simplifies to:
Step 5: Perform the calculation
Performing the calculation gives us the final answer:
Finally, after dividing 2000 by 1500, we arrive at the answer: 1.333. Hence, we can definitively say that 20 is 1500% of 1.333.
This guide aims to simplify the understanding of percentage calculations, focusing on the question 20 is 1500 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.
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