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Solution for 160 is what percent of 99:

160:99*100 =

(160*100):99 =

16000:99 = 161.62

Now we have: 160 is what percent of 99 = 161.62

Question: 160 is what percent of 99?

Percentage solution with steps:

Step 1: We make the assumption that 99 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\%}={99}.

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

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

{100\%}={99}(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{99}{160}

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

\frac{x\%}{100\%}=\frac{160}{99}

\Rightarrow{x} = {161.62\%}

Therefore, {160} is {161.62\%} of {99}.

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Solution for 99 is what percent of 160:

99:160*100 =

(99*100):160 =

9900:160 = 61.88

Now we have: 99 is what percent of 160 = 61.88

Question: 99 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\%}={99}.

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

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

{x\%}={99}(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}{99}

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

\frac{x\%}{100\%}=\frac{99}{160}

\Rightarrow{x} = {61.88\%}

Therefore, {99} is {61.88\%} of {160}.