#### Solution for 149 is what percent of 491:

149:491*100 =

(149*100):491 =

14900:491 = 30.35

Now we have: 149 is what percent of 491 = 30.35

Question: 149 is what percent of 491?

Percentage solution with steps:

Step 1: We make the assumption that 491 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\%}={491}.

Step 4: In the same vein, {x\%}={149}.

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

{100\%}={491}(1).

{x\%}={149}(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{491}{149}

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

\frac{x\%}{100\%}=\frac{149}{491}

\Rightarrow{x} = {30.35\%}

Therefore, {149} is {30.35\%} of {491}.

#### Solution for 491 is what percent of 149:

491:149*100 =

(491*100):149 =

49100:149 = 329.53

Now we have: 491 is what percent of 149 = 329.53

Question: 491 is what percent of 149?

Percentage solution with steps:

Step 1: We make the assumption that 149 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\%}={149}.

Step 4: In the same vein, {x\%}={491}.

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

{100\%}={149}(1).

{x\%}={491}(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{149}{491}

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

\frac{x\%}{100\%}=\frac{491}{149}

\Rightarrow{x} = {329.53\%}

Therefore, {491} is {329.53\%} of {149}.

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