#### Solution for 5200 is what percent of 416:

5200:416*100 =

(5200*100):416 =

520000:416 = 1250

Now we have: 5200 is what percent of 416 = 1250

Question: 5200 is what percent of 416?

Percentage solution with steps:

Step 1: We make the assumption that 416 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\%}={416}.

Step 4: In the same vein, {x\%}={5200}.

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

{100\%}={416}(1).

{x\%}={5200}(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{416}{5200}

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

\frac{x\%}{100\%}=\frac{5200}{416}

\Rightarrow{x} = {1250\%}

Therefore, {5200} is {1250\%} of {416}.

#### Solution for 416 is what percent of 5200:

416:5200*100 =

(416*100):5200 =

41600:5200 = 8

Now we have: 416 is what percent of 5200 = 8

Question: 416 is what percent of 5200?

Percentage solution with steps:

Step 1: We make the assumption that 5200 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\%}={5200}.

Step 4: In the same vein, {x\%}={416}.

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

{100\%}={5200}(1).

{x\%}={416}(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{5200}{416}

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

\frac{x\%}{100\%}=\frac{416}{5200}

\Rightarrow{x} = {8\%}

Therefore, {416} is {8\%} of {5200}.

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