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Solution for 5500 is what percent of 90:

5500:90*100 =

(5500*100):90 =

550000:90 = 6111.11

Now we have: 5500 is what percent of 90 = 6111.11

Question: 5500 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\%}={5500}.

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

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

{x\%}={5500}(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}{5500}

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

\frac{x\%}{100\%}=\frac{5500}{90}

\Rightarrow{x} = {6111.11\%}

Therefore, {5500} is {6111.11\%} of {90}.

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Solution for 90 is what percent of 5500:

90:5500*100 =

(90*100):5500 =

9000:5500 = 1.64

Now we have: 90 is what percent of 5500 = 1.64

Question: 90 is what percent of 5500?

Percentage solution with steps:

Step 1: We make the assumption that 5500 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\%}={5500}.

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

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

{100\%}={5500}(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{5500}{90}

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

\frac{x\%}{100\%}=\frac{90}{5500}

\Rightarrow{x} = {1.64\%}

Therefore, {90} is {1.64\%} of {5500}.