#### Solution for 66 is what percent of 163:

66:163*100 =

(66*100):163 =

6600:163 = 40.49

Now we have: 66 is what percent of 163 = 40.49

Question: 66 is what percent of 163?

Percentage solution with steps:

Step 1: We make the assumption that 163 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\%}={163}.

Step 4: In the same vein, {x\%}={66}.

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

{100\%}={163}(1).

{x\%}={66}(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{163}{66}

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

\frac{x\%}{100\%}=\frac{66}{163}

\Rightarrow{x} = {40.49\%}

Therefore, {66} is {40.49\%} of {163}.

#### Solution for 163 is what percent of 66:

163:66*100 =

(163*100):66 =

16300:66 = 246.97

Now we have: 163 is what percent of 66 = 246.97

Question: 163 is what percent of 66?

Percentage solution with steps:

Step 1: We make the assumption that 66 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\%}={66}.

Step 4: In the same vein, {x\%}={163}.

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

{100\%}={66}(1).

{x\%}={163}(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{66}{163}

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

\frac{x\%}{100\%}=\frac{163}{66}

\Rightarrow{x} = {246.97\%}

Therefore, {163} is {246.97\%} of {66}.

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