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Solution for 167 is what percent of 160:

167:160*100 =

(167*100):160 =

16700:160 = 104.38

Now we have: 167 is what percent of 160 = 104.38

Question: 167 is what percent of 160?

Percentage solution with steps:

Step 1: We make the assumption that 160 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\%}={160}.

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

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

{100\%}={160}(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{160}{167}

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

\frac{x\%}{100\%}=\frac{167}{160}

\Rightarrow{x} = {104.38\%}

Therefore, {167} is {104.38\%} of {160}.

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Solution for 160 is what percent of 167:

160:167*100 =

(160*100):167 =

16000:167 = 95.81

Now we have: 160 is what percent of 167 = 95.81

Question: 160 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\%}={160}.

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

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

{x\%}={160}(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}{160}

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

\frac{x\%}{100\%}=\frac{160}{167}

\Rightarrow{x} = {95.81\%}

Therefore, {160} is {95.81\%} of {167}.