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Solution for 167 is what percent of 48:

167:48*100 =

(167*100):48 =

16700:48 = 347.92

Now we have: 167 is what percent of 48 = 347.92

Question: 167 is what percent of 48?

Percentage solution with steps:

Step 1: We make the assumption that 48 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\%}={48}.

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

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

{100\%}={48}(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{48}{167}

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

\frac{x\%}{100\%}=\frac{167}{48}

\Rightarrow{x} = {347.92\%}

Therefore, {167} is {347.92\%} of {48}.

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• 167 is what percent of 48 = 347.92
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Solution for 48 is what percent of 167:

48:167*100 =

(48*100):167 =

4800:167 = 28.74

Now we have: 48 is what percent of 167 = 28.74

Question: 48 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\%}={48}.

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

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

{x\%}={48}(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}{48}

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

\frac{x\%}{100\%}=\frac{48}{167}

\Rightarrow{x} = {28.74\%}

Therefore, {48} is {28.74\%} of {167}.