To determine what percentage 2,530 is of 4,600, follow these steps:
1. Understand the problem: We need to find out what percentage 2,530 is of 4,600. This means we are calculating the ratio of 2,530 to 4,600 expressed as a percentage.
2. Set up the formula: The formula to find the percentage of one number relative to another is:
[tex]\[
\text{Percentage} = \left( \frac{\text{Part amount}}{\text{Total amount}} \right) \times 100
\][/tex]
3. Insert the given values: In this case, the part amount is 2,530, and the total amount is 4,600. So we have:
[tex]\[
\text{Percentage} = \left( \frac{2,530}{4,600} \right) \times 100
\][/tex]
4. Perform the calculation: First, divide 2,530 by 4,600 to get the ratio.
[tex]\[
\frac{2,530}{4,600} \approx 0.55
\][/tex]
5. Convert the ratio to a percentage: Multiply the ratio by 100 to convert it to a percentage:
[tex]\[
0.55 \times 100 = 55.00000000000001
\][/tex]
Thus, 2,530 is approximately 55% of 4,600.
