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Solution for 5200 is what percent of 46:

5200:46*100 =

(5200*100):46 =

520000:46 = 11304.35

Now we have: 5200 is what percent of 46 = 11304.35

Question: 5200 is what percent of 46?

Percentage solution with steps:

Step 1: We make the assumption that 46 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\%}={46}.

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

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

{100\%}={46}(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{46}{5200}

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

\frac{x\%}{100\%}=\frac{5200}{46}

\Rightarrow{x} = {11304.35\%}

Therefore, {5200} is {11304.35\%} of {46}.

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Solution for 46 is what percent of 5200:

46:5200*100 =

(46*100):5200 =

4600:5200 = 0.88

Now we have: 46 is what percent of 5200 = 0.88

Question: 46 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\%}={46}.

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

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

{x\%}={46}(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}{46}

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

\frac{x\%}{100\%}=\frac{46}{5200}

\Rightarrow{x} = {0.88\%}

Therefore, {46} is {0.88\%} of {5200}.