#### Solution for 45 is what percent of 491:

45:491*100 =

(45*100):491 =

4500:491 = 9.16

Now we have: 45 is what percent of 491 = 9.16

Question: 45 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\%}={45}.

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

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

{x\%}={45}(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}{45}

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

\frac{x\%}{100\%}=\frac{45}{491}

\Rightarrow{x} = {9.16\%}

Therefore, {45} is {9.16\%} of {491}.

#### Solution for 491 is what percent of 45:

491:45*100 =

(491*100):45 =

49100:45 = 1091.11

Now we have: 491 is what percent of 45 = 1091.11

Question: 491 is what percent of 45?

Percentage solution with steps:

Step 1: We make the assumption that 45 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\%}={45}.

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

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

{100\%}={45}(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{45}{491}

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

\frac{x\%}{100\%}=\frac{491}{45}

\Rightarrow{x} = {1091.11\%}

Therefore, {491} is {1091.11\%} of {45}.

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