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Solution for 159 is what percent of 90:

159:90*100 =

(159*100):90 =

15900:90 = 176.67

Now we have: 159 is what percent of 90 = 176.67

Question: 159 is what percent of 90?

Percentage solution with steps:

Step 1: We make the assumption that 90 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\%}={90}.

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

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

{100\%}={90}(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{90}{159}

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

\frac{x\%}{100\%}=\frac{159}{90}

\Rightarrow{x} = {176.67\%}

Therefore, {159} is {176.67\%} of {90}.

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Solution for 90 is what percent of 159:

90:159*100 =

(90*100):159 =

9000:159 = 56.6

Now we have: 90 is what percent of 159 = 56.6

Question: 90 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\%}={90}.

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

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

{x\%}={90}(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}{90}

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

\frac{x\%}{100\%}=\frac{90}{159}

\Rightarrow{x} = {56.6\%}

Therefore, {90} is {56.6\%} of {159}.