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Solution for 51 is what percent of 90:

51:90*100 =

(51*100):90 =

5100:90 = 56.67

Now we have: 51 is what percent of 90 = 56.67

Question: 51 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\%}={51}.

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

{100\%}={90}(1).

{x\%}={51}(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}{51}

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

\frac{x\%}{100\%}=\frac{51}{90}

\Rightarrow{x} = {56.67\%}

Therefore, {51} is {56.67\%} of {90}.

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Solution for 90 is what percent of 51:

90:51*100 =

(90*100):51 =

9000:51 = 176.47

Now we have: 90 is what percent of 51 = 176.47

Question: 90 is what percent of 51?

Percentage solution with steps:

Step 1: We make the assumption that 51 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\%}={51}.

Step 4: In the same vein, {x\%}={90}.

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

{100\%}={51}(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{51}{90}

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

\frac{x\%}{100\%}=\frac{90}{51}

\Rightarrow{x} = {176.47\%}

Therefore, {90} is {176.47\%} of {51}.