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Solution for 50.00 is what percent of 90:

50.00:90*100 =

(50.00*100):90 =

5000:90 = 55.555555555556

Now we have: 50.00 is what percent of 90 = 55.555555555556

Question: 50.00 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\%}={50.00}.

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

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

{x\%}={50.00}(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}{50.00}

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

\frac{x\%}{100\%}=\frac{50.00}{90}

\Rightarrow{x} = {55.555555555556\%}

Therefore, {50.00} is {55.555555555556\%} of {90}.

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Solution for 90 is what percent of 50.00:

90:50.00*100 =

(90*100):50.00 =

9000:50.00 = 180

Now we have: 90 is what percent of 50.00 = 180

Question: 90 is what percent of 50.00?

Percentage solution with steps:

Step 1: We make the assumption that 50.00 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\%}={50.00}.

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

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

{100\%}={50.00}(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{50.00}{90}

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

\frac{x\%}{100\%}=\frac{90}{50.00}

\Rightarrow{x} = {180\%}

Therefore, {90} is {180\%} of {50.00}.