#### Solution for 163.00 is what percent of 390.00:

163.00:390.00*100 =

(163.00*100):390.00 =

16300:390.00 = 41.794871794872

Now we have: 163.00 is what percent of 390.00 = 41.794871794872

Question: 163.00 is what percent of 390.00?

Percentage solution with steps:

Step 1: We make the assumption that 390.00 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\%}={390.00}.

Step 4: In the same vein, {x\%}={163.00}.

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

{100\%}={390.00}(1).

{x\%}={163.00}(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{390.00}{163.00}

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

\frac{x\%}{100\%}=\frac{163.00}{390.00}

\Rightarrow{x} = {41.794871794872\%}

Therefore, {163.00} is {41.794871794872\%} of {390.00}.

#### Solution for 390.00 is what percent of 163.00:

390.00:163.00*100 =

(390.00*100):163.00 =

39000:163.00 = 239.26380368098

Now we have: 390.00 is what percent of 163.00 = 239.26380368098

Question: 390.00 is what percent of 163.00?

Percentage solution with steps:

Step 1: We make the assumption that 163.00 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\%}={163.00}.

Step 4: In the same vein, {x\%}={390.00}.

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

{100\%}={163.00}(1).

{x\%}={390.00}(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{163.00}{390.00}

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

\frac{x\%}{100\%}=\frac{390.00}{163.00}

\Rightarrow{x} = {239.26380368098\%}

Therefore, {390.00} is {239.26380368098\%} of {163.00}.

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