#### Solution for 146 is what percent of 5500:

146:5500*100 =

(146*100):5500 =

14600:5500 = 2.65

Now we have: 146 is what percent of 5500 = 2.65

Question: 146 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\%}={146}.

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

{100\%}={5500}(1).

{x\%}={146}(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}{146}

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

\frac{x\%}{100\%}=\frac{146}{5500}

\Rightarrow{x} = {2.65\%}

Therefore, {146} is {2.65\%} of {5500}.

#### Solution for 5500 is what percent of 146:

5500:146*100 =

(5500*100):146 =

550000:146 = 3767.12

Now we have: 5500 is what percent of 146 = 3767.12

Question: 5500 is what percent of 146?

Percentage solution with steps:

Step 1: We make the assumption that 146 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\%}={146}.

Step 4: In the same vein, {x\%}={5500}.

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

{100\%}={146}(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{146}{5500}

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

\frac{x\%}{100\%}=\frac{5500}{146}

\Rightarrow{x} = {3767.12\%}

Therefore, {5500} is {3767.12\%} of {146}.

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