#### Solution for 30 is what percent of 163:

30:163*100 =

(30*100):163 =

3000:163 = 18.4

Now we have: 30 is what percent of 163 = 18.4

Question: 30 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\%}={30}.

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

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

{x\%}={30}(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}{30}

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

\frac{x\%}{100\%}=\frac{30}{163}

\Rightarrow{x} = {18.4\%}

Therefore, {30} is {18.4\%} of {163}.

#### Solution for 163 is what percent of 30:

163:30*100 =

(163*100):30 =

16300:30 = 543.33

Now we have: 163 is what percent of 30 = 543.33

Question: 163 is what percent of 30?

Percentage solution with steps:

Step 1: We make the assumption that 30 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\%}={30}.

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

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

{100\%}={30}(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{30}{163}

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

\frac{x\%}{100\%}=\frac{163}{30}

\Rightarrow{x} = {543.33\%}

Therefore, {163} is {543.33\%} of {30}.

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