#### Solution for 580 is what percent of 20:

580:20*100 =

(580*100):20 =

58000:20 = 2900

Now we have: 580 is what percent of 20 = 2900

Question: 580 is what percent of 20?

Percentage solution with steps:

Step 1: We make the assumption that 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\%}={20}.

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

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

{100\%}={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{20}{580}

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

\frac{x\%}{100\%}=\frac{580}{20}

\Rightarrow{x} = {2900\%}

Therefore, {580} is {2900\%} of {20}.

#### Solution for 20 is what percent of 580:

20:580*100 =

(20*100):580 =

2000:580 = 3.45

Now we have: 20 is what percent of 580 = 3.45

Question: 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\%}={20}.

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

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

{x\%}={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}{20}

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

\frac{x\%}{100\%}=\frac{20}{580}

\Rightarrow{x} = {3.45\%}

Therefore, {20} is {3.45\%} of {580}.

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