#### Solution for 100 is what percent of 160:

100:160*100 =

( 100*100):160 =

10000:160 = 62.5

Now we have: 100 is what percent of 160 = 62.5

Question: 100 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\%}={ 100}.

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

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

{x\%}={ 100}(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}{ 100}

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

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

\Rightarrow{x} = {62.5\%}

Therefore, { 100} is {62.5\%} of {160}.

#### Solution for 160 is what percent of 100:

160: 100*100 =

(160*100): 100 =

16000: 100 = 160

Now we have: 160 is what percent of 100 = 160

Question: 160 is what percent of 100?

Percentage solution with steps:

Step 1: We make the assumption that 100 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\%}={ 100}.

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

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

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

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

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

\Rightarrow{x} = {160\%}

Therefore, {160} is {160\%} of { 100}.

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