#### Solution for 5200 is what percent of 43800:

5200:43800*100 =

(5200*100):43800 =

520000:43800 = 11.87

Now we have: 5200 is what percent of 43800 = 11.87

Question: 5200 is what percent of 43800?

Percentage solution with steps:

Step 1: We make the assumption that 43800 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\%}={43800}.

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

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

{100\%}={43800}(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{43800}{5200}

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

\frac{x\%}{100\%}=\frac{5200}{43800}

\Rightarrow{x} = {11.87\%}

Therefore, {5200} is {11.87\%} of {43800}.

#### Solution for 43800 is what percent of 5200:

43800:5200*100 =

(43800*100):5200 =

4380000:5200 = 842.31

Now we have: 43800 is what percent of 5200 = 842.31

Question: 43800 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\%}={43800}.

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

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

{x\%}={43800}(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}{43800}

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

\frac{x\%}{100\%}=\frac{43800}{5200}

\Rightarrow{x} = {842.31\%}

Therefore, {43800} is {842.31\%} of {5200}.

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