#### Solution for 29.8 is what percent of 167:

29.8:167*100 =

(29.8*100):167 =

2980:167 = 17.844311377246

Now we have: 29.8 is what percent of 167 = 17.844311377246

Question: 29.8 is what percent of 167?

Percentage solution with steps:

Step 1: We make the assumption that 167 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\%}={167}.

Step 4: In the same vein, {x\%}={29.8}.

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

{100\%}={167}(1).

{x\%}={29.8}(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{167}{29.8}

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

\frac{x\%}{100\%}=\frac{29.8}{167}

\Rightarrow{x} = {17.844311377246\%}

Therefore, {29.8} is {17.844311377246\%} of {167}.

#### Solution for 167 is what percent of 29.8:

167:29.8*100 =

(167*100):29.8 =

16700:29.8 = 560.40268456376

Now we have: 167 is what percent of 29.8 = 560.40268456376

Question: 167 is what percent of 29.8?

Percentage solution with steps:

Step 1: We make the assumption that 29.8 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\%}={29.8}.

Step 4: In the same vein, {x\%}={167}.

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

{100\%}={29.8}(1).

{x\%}={167}(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{29.8}{167}

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

\frac{x\%}{100\%}=\frac{167}{29.8}

\Rightarrow{x} = {560.40268456376\%}

Therefore, {167} is {560.40268456376\%} of {29.8}.

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