#### Solution for 163 is what percent of 309:

163:309*100 =

(163*100):309 =

16300:309 = 52.75

Now we have: 163 is what percent of 309 = 52.75

Question: 163 is what percent of 309?

Percentage solution with steps:

Step 1: We make the assumption that 309 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\%}={309}.

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

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

{100\%}={309}(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{309}{163}

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

\frac{x\%}{100\%}=\frac{163}{309}

\Rightarrow{x} = {52.75\%}

Therefore, {163} is {52.75\%} of {309}.

#### Solution for 309 is what percent of 163:

309:163*100 =

(309*100):163 =

30900:163 = 189.57

Now we have: 309 is what percent of 163 = 189.57

Question: 309 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\%}={309}.

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

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

{x\%}={309}(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}{309}

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

\frac{x\%}{100\%}=\frac{309}{163}

\Rightarrow{x} = {189.57\%}

Therefore, {309} is {189.57\%} of {163}.

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