#### Solution for 167 is what percent of 263:

167:263*100 =

(167*100):263 =

16700:263 = 63.5

Now we have: 167 is what percent of 263 = 63.5

Question: 167 is what percent of 263?

Percentage solution with steps:

Step 1: We make the assumption that 263 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\%}={263}.

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

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

{100\%}={263}(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{263}{167}

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

\frac{x\%}{100\%}=\frac{167}{263}

\Rightarrow{x} = {63.5\%}

Therefore, {167} is {63.5\%} of {263}.

#### Solution for 263 is what percent of 167:

263:167*100 =

(263*100):167 =

26300:167 = 157.49

Now we have: 263 is what percent of 167 = 157.49

Question: 263 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\%}={263}.

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

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

{x\%}={263}(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}{263}

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

\frac{x\%}{100\%}=\frac{263}{167}

\Rightarrow{x} = {157.49\%}

Therefore, {263} is {157.49\%} of {167}.

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