#### Solution for 478.20 is what percent of 580:

478.20:580*100 =

(478.20*100):580 =

47820:580 = 82.448275862069

Now we have: 478.20 is what percent of 580 = 82.448275862069

Question: 478.20 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\%}={478.20}.

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

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

{x\%}={478.20}(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}{478.20}

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

\frac{x\%}{100\%}=\frac{478.20}{580}

\Rightarrow{x} = {82.448275862069\%}

Therefore, {478.20} is {82.448275862069\%} of {580}.

#### Solution for 580 is what percent of 478.20:

580:478.20*100 =

(580*100):478.20 =

58000:478.20 = 121.28816394814

Now we have: 580 is what percent of 478.20 = 121.28816394814

Question: 580 is what percent of 478.20?

Percentage solution with steps:

Step 1: We make the assumption that 478.20 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\%}={478.20}.

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

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

{100\%}={478.20}(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{478.20}{580}

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

\frac{x\%}{100\%}=\frac{580}{478.20}

\Rightarrow{x} = {121.28816394814\%}

Therefore, {580} is {121.28816394814\%} of {478.20}.

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