#### Solution for 176 is what percent of 300:

176:300*100 =

(176*100):300 =

17600:300 = 58.67

Now we have: 176 is what percent of 300 = 58.67

Question: 176 is what percent of 300?

Percentage solution with steps:

Step 1: We make the assumption that 300 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\%}={300}.

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

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

{100\%}={300}(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{300}{176}

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

\frac{x\%}{100\%}=\frac{176}{300}

\Rightarrow{x} = {58.67\%}

Therefore, {176} is {58.67\%} of {300}.

#### Solution for 300 is what percent of 176:

300:176*100 =

(300*100):176 =

30000:176 = 170.45

Now we have: 300 is what percent of 176 = 170.45

Question: 300 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\%}={300}.

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

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

{x\%}={300}(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}{300}

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

\frac{x\%}{100\%}=\frac{300}{176}

\Rightarrow{x} = {170.45\%}

Therefore, {300} is {170.45\%} of {176}.

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