#### Solution for 501 is what percent of 580:

501:580*100 =

(501*100):580 =

50100:580 = 86.38

Now we have: 501 is what percent of 580 = 86.38

Question: 501 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\%}={501}.

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

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

{x\%}={501}(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}{501}

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

\frac{x\%}{100\%}=\frac{501}{580}

\Rightarrow{x} = {86.38\%}

Therefore, {501} is {86.38\%} of {580}.

#### Solution for 580 is what percent of 501:

580:501*100 =

(580*100):501 =

58000:501 = 115.77

Now we have: 580 is what percent of 501 = 115.77

Question: 580 is what percent of 501?

Percentage solution with steps:

Step 1: We make the assumption that 501 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\%}={501}.

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

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

{100\%}={501}(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{501}{580}

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

\frac{x\%}{100\%}=\frac{580}{501}

\Rightarrow{x} = {115.77\%}

Therefore, {580} is {115.77\%} of {501}.

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