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Solution for 159 is what percent of 992:

159:992*100 =

(159*100):992 =

15900:992 = 16.03

Now we have: 159 is what percent of 992 = 16.03

Question: 159 is what percent of 992?

Percentage solution with steps:

Step 1: We make the assumption that 992 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\%}={992}.

Step 4: In the same vein, {x\%}={159}.

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

{100\%}={992}(1).

{x\%}={159}(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{992}{159}

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

\frac{x\%}{100\%}=\frac{159}{992}

\Rightarrow{x} = {16.03\%}

Therefore, {159} is {16.03\%} of {992}.

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Solution for 992 is what percent of 159:

992:159*100 =

(992*100):159 =

99200:159 = 623.9

Now we have: 992 is what percent of 159 = 623.9

Question: 992 is what percent of 159?

Percentage solution with steps:

Step 1: We make the assumption that 159 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\%}={159}.

Step 4: In the same vein, {x\%}={992}.

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

{100\%}={159}(1).

{x\%}={992}(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{159}{992}

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

\frac{x\%}{100\%}=\frac{992}{159}

\Rightarrow{x} = {623.9\%}

Therefore, {992} is {623.9\%} of {159}.