#### Solution for 176 is what percent of 164:

176:164*100 =

(176*100):164 =

17600:164 = 107.32

Now we have: 176 is what percent of 164 = 107.32

Question: 176 is what percent of 164?

Percentage solution with steps:

Step 1: We make the assumption that 164 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\%}={164}.

Step 4: In the same vein, {x\%}={176}.

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

{100\%}={164}(1).

{x\%}={176}(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{164}{176}

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

\frac{x\%}{100\%}=\frac{176}{164}

\Rightarrow{x} = {107.32\%}

Therefore, {176} is {107.32\%} of {164}.

#### Solution for 164 is what percent of 176:

164:176*100 =

(164*100):176 =

16400:176 = 93.18

Now we have: 164 is what percent of 176 = 93.18

Question: 164 is what percent of 176?

Percentage solution with steps:

Step 1: We make the assumption that 176 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\%}={176}.

Step 4: In the same vein, {x\%}={164}.

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

{100\%}={176}(1).

{x\%}={164}(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{176}{164}

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

\frac{x\%}{100\%}=\frac{164}{176}

\Rightarrow{x} = {93.18\%}

Therefore, {164} is {93.18\%} of {176}.

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