#### Solution for 500 is what percent of 3550:

500:3550*100 =

(500*100):3550 =

50000:3550 = 14.08

Now we have: 500 is what percent of 3550 = 14.08

Question: 500 is what percent of 3550?

Percentage solution with steps:

Step 1: We make the assumption that 3550 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\%}={3550}.

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

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

{100\%}={3550}(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{3550}{500}

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

\frac{x\%}{100\%}=\frac{500}{3550}

\Rightarrow{x} = {14.08\%}

Therefore, {500} is {14.08\%} of {3550}.

#### Solution for 3550 is what percent of 500:

3550:500*100 =

(3550*100):500 =

355000:500 = 710

Now we have: 3550 is what percent of 500 = 710

Question: 3550 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\%}={3550}.

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

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

{x\%}={3550}(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}{3550}

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

\frac{x\%}{100\%}=\frac{3550}{500}

\Rightarrow{x} = {710\%}

Therefore, {3550} is {710\%} of {500}.

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