#### Solution for 580 is what percent of 1100:

580:1100*100 =

(580*100):1100 =

58000:1100 = 52.73

Now we have: 580 is what percent of 1100 = 52.73

Question: 580 is what percent of 1100?

Percentage solution with steps:

Step 1: We make the assumption that 1100 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\%}={1100}.

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

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

{100\%}={1100}(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{1100}{580}

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

\frac{x\%}{100\%}=\frac{580}{1100}

\Rightarrow{x} = {52.73\%}

Therefore, {580} is {52.73\%} of {1100}.

#### Solution for 1100 is what percent of 580:

1100:580*100 =

(1100*100):580 =

110000:580 = 189.66

Now we have: 1100 is what percent of 580 = 189.66

Question: 1100 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\%}={1100}.

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

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

{x\%}={1100}(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}{1100}

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

\frac{x\%}{100\%}=\frac{1100}{580}

\Rightarrow{x} = {189.66\%}

Therefore, {1100} is {189.66\%} of {580}.

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