#### Solution for 58 is what percent of 5200:

58:5200*100 =

(58*100):5200 =

5800:5200 = 1.12

Now we have: 58 is what percent of 5200 = 1.12

Question: 58 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\%}={58}.

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

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

{x\%}={58}(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}{58}

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

\frac{x\%}{100\%}=\frac{58}{5200}

\Rightarrow{x} = {1.12\%}

Therefore, {58} is {1.12\%} of {5200}.

#### Solution for 5200 is what percent of 58:

5200:58*100 =

(5200*100):58 =

520000:58 = 8965.52

Now we have: 5200 is what percent of 58 = 8965.52

Question: 5200 is what percent of 58?

Percentage solution with steps:

Step 1: We make the assumption that 58 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\%}={58}.

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

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

{100\%}={58}(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{58}{5200}

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

\frac{x\%}{100\%}=\frac{5200}{58}

\Rightarrow{x} = {8965.52\%}

Therefore, {5200} is {8965.52\%} of {58}.

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