#### Solution for 500 is what percent of 2750:

500:2750*100 =

(500*100):2750 =

50000:2750 = 18.18

Now we have: 500 is what percent of 2750 = 18.18

Question: 500 is what percent of 2750?

Percentage solution with steps:

Step 1: We make the assumption that 2750 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\%}={2750}.

Step 4: In the same vein, {x\%}={500}.

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

{100\%}={2750}(1).

{x\%}={500}(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{2750}{500}

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

\frac{x\%}{100\%}=\frac{500}{2750}

\Rightarrow{x} = {18.18\%}

Therefore, {500} is {18.18\%} of {2750}.

#### Solution for 2750 is what percent of 500:

2750:500*100 =

(2750*100):500 =

275000:500 = 550

Now we have: 2750 is what percent of 500 = 550

Question: 2750 is what percent of 500?

Percentage solution with steps:

Step 1: We make the assumption that 500 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\%}={500}.

Step 4: In the same vein, {x\%}={2750}.

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

{100\%}={500}(1).

{x\%}={2750}(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{500}{2750}

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

\frac{x\%}{100\%}=\frac{2750}{500}

\Rightarrow{x} = {550\%}

Therefore, {2750} is {550\%} of {500}.

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