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Solution for 159 is what percent of 902:

159:902*100 =

(159*100):902 =

15900:902 = 17.63

Now we have: 159 is what percent of 902 = 17.63

Question: 159 is what percent of 902?

Percentage solution with steps:

Step 1: We make the assumption that 902 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\%}={902}.

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

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

{100\%}={902}(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{902}{159}

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

\frac{x\%}{100\%}=\frac{159}{902}

\Rightarrow{x} = {17.63\%}

Therefore, {159} is {17.63\%} of {902}.

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Solution for 902 is what percent of 159:

902:159*100 =

(902*100):159 =

90200:159 = 567.3

Now we have: 902 is what percent of 159 = 567.3

Question: 902 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\%}={902}.

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

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

{x\%}={902}(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}{902}

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

\frac{x\%}{100\%}=\frac{902}{159}

\Rightarrow{x} = {567.3\%}

Therefore, {902} is {567.3\%} of {159}.