#### Solution for 173 is what percent of 311:

173:311*100 =

(173*100):311 =

17300:311 = 55.63

Now we have: 173 is what percent of 311 = 55.63

Question: 173 is what percent of 311?

Percentage solution with steps:

Step 1: We make the assumption that 311 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\%}={311}.

Step 4: In the same vein, {x\%}={173}.

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

{100\%}={311}(1).

{x\%}={173}(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{311}{173}

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

\frac{x\%}{100\%}=\frac{173}{311}

\Rightarrow{x} = {55.63\%}

Therefore, {173} is {55.63\%} of {311}.

#### Solution for 311 is what percent of 173:

311:173*100 =

(311*100):173 =

31100:173 = 179.77

Now we have: 311 is what percent of 173 = 179.77

Question: 311 is what percent of 173?

Percentage solution with steps:

Step 1: We make the assumption that 173 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\%}={173}.

Step 4: In the same vein, {x\%}={311}.

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

{100\%}={173}(1).

{x\%}={311}(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{173}{311}

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

\frac{x\%}{100\%}=\frac{311}{173}

\Rightarrow{x} = {179.77\%}

Therefore, {311} is {179.77\%} of {173}.

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