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Solution for 160 is what percent of 11:

160:11*100 =

(160*100):11 =

16000:11 = 1454.55

Now we have: 160 is what percent of 11 = 1454.55

Question: 160 is what percent of 11?

Percentage solution with steps:

Step 1: We make the assumption that 11 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\%}={11}.

Step 4: In the same vein, {x\%}={160}.

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

{100\%}={11}(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{11}{160}

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

\frac{x\%}{100\%}=\frac{160}{11}

\Rightarrow{x} = {1454.55\%}

Therefore, {160} is {1454.55\%} of {11}.

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Solution for 11 is what percent of 160:

11:160*100 =

(11*100):160 =

1100:160 = 6.88

Now we have: 11 is what percent of 160 = 6.88

Question: 11 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\%}={11}.

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

{100\%}={160}(1).

{x\%}={11}(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}{11}

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

\frac{x\%}{100\%}=\frac{11}{160}

\Rightarrow{x} = {6.88\%}

Therefore, {11} is {6.88\%} of {160}.