Q:

What percent of 4600% is 2530

Accepted Solution

A:
Answer:181.82Step-by-step explanation:Solution for 4600 is what percent of 2530: 4600:2530*100 = (4600*100):2530 = 460000:2530 = 181.82 Now we have: 4600 is what percent of 2530 = 181.82 Question: 4600 is what percent of 2530? Percentage solution with steps: Step 1: We make the assumption that 2530 is 100% since it is our output value. Step 2: We next represent the value we seek with $x$. Step 3: From step 1, it follows that $100\%=2530$. Step 4: In the same vein, $x\%=4600$. Step 5: This gives us a pair of simple equations: $100\%=2530(1)$. $x\%=4600(2)$. Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS (left hand side) of both equations have the same unit (%); we have $\frac{100\%}{x\%}=\frac{2530}{4600}$ Step 7: Taking the inverse (or reciprocal) of both sides yields $\frac{x\%}{100\%}=\frac{4600}{2530}$ $\Rightarrow x=181.82\%$ Therefore, $4600$ is $181.82\%$ of $2530$.