#### Solution for 52 is what percent of 650:

52:650*100 =

(52*100):650 =

5200:650 = 8

Now we have: 52 is what percent of 650 = 8

Question: 52 is what percent of 650?

Percentage solution with steps:

Step 1: We make the assumption that 650 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\%}={650}.

Step 4: In the same vein, {x\%}={52}.

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

{100\%}={650}(1).

{x\%}={52}(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{650}{52}

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

\frac{x\%}{100\%}=\frac{52}{650}

\Rightarrow{x} = {8\%}

Therefore, {52} is {8\%} of {650}.

#### Solution for 650 is what percent of 52:

650:52*100 =

(650*100):52 =

65000:52 = 1250

Now we have: 650 is what percent of 52 = 1250

Question: 650 is what percent of 52?

Percentage solution with steps:

Step 1: We make the assumption that 52 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\%}={52}.

Step 4: In the same vein, {x\%}={650}.

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

{100\%}={52}(1).

{x\%}={650}(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{52}{650}

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

\frac{x\%}{100\%}=\frac{650}{52}

\Rightarrow{x} = {1250\%}

Therefore, {650} is {1250\%} of {52}.

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