#### Solution for 516.5 is what percent of 580:

516.5:580*100 =

(516.5*100):580 =

51650:580 = 89.051724137931

Now we have: 516.5 is what percent of 580 = 89.051724137931

Question: 516.5 is what percent of 580?

Percentage solution with steps:

Step 1: We make the assumption that 580 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\%}={580}.

Step 4: In the same vein, {x\%}={516.5}.

Step 5: This gives us a pair of simple equations:

{100\%}={580}(1).

{x\%}={516.5}(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{580}{516.5}

Step 7: Taking the inverse (or reciprocal) of both sides yields

\frac{x\%}{100\%}=\frac{516.5}{580}

\Rightarrow{x} = {89.051724137931\%}

Therefore, {516.5} is {89.051724137931\%} of {580}.

#### Solution for 580 is what percent of 516.5:

580:516.5*100 =

(580*100):516.5 =

58000:516.5 = 112.29428848015

Now we have: 580 is what percent of 516.5 = 112.29428848015

Question: 580 is what percent of 516.5?

Percentage solution with steps:

Step 1: We make the assumption that 516.5 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\%}={516.5}.

Step 4: In the same vein, {x\%}={580}.

Step 5: This gives us a pair of simple equations:

{100\%}={516.5}(1).

{x\%}={580}(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{516.5}{580}

Step 7: Taking the inverse (or reciprocal) of both sides yields

\frac{x\%}{100\%}=\frac{580}{516.5}

\Rightarrow{x} = {112.29428848015\%}

Therefore, {580} is {112.29428848015\%} of {516.5}.

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