#### Solution for 591 is what percent of 1006:

591:1006*100 =

(591*100):1006 =

59100:1006 = 58.75

Now we have: 591 is what percent of 1006 = 58.75

Question: 591 is what percent of 1006?

Percentage solution with steps:

Step 1: We make the assumption that 1006 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\%}={1006}.

Step 4: In the same vein, {x\%}={591}.

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

{100\%}={1006}(1).

{x\%}={591}(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{1006}{591}

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

\frac{x\%}{100\%}=\frac{591}{1006}

\Rightarrow{x} = {58.75\%}

Therefore, {591} is {58.75\%} of {1006}.

#### Solution for 1006 is what percent of 591:

1006:591*100 =

(1006*100):591 =

100600:591 = 170.22

Now we have: 1006 is what percent of 591 = 170.22

Question: 1006 is what percent of 591?

Percentage solution with steps:

Step 1: We make the assumption that 591 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\%}={591}.

Step 4: In the same vein, {x\%}={1006}.

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

{100\%}={591}(1).

{x\%}={1006}(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{591}{1006}

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

\frac{x\%}{100\%}=\frac{1006}{591}

\Rightarrow{x} = {170.22\%}

Therefore, {1006} is {170.22\%} of {591}.

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