#### Solution for 52 is what percent of 130:

52: 130*100 =

(52*100): 130 =

5200: 130 = 40

Now we have: 52 is what percent of 130 = 40

Question: 52 is what percent of 130?

Percentage solution with steps:

Step 1: We make the assumption that 130 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\%}={ 130}.

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

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

{100\%}={ 130}(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{ 130}{52}

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

\frac{x\%}{100\%}=\frac{52}{ 130}

\Rightarrow{x} = {40\%}

Therefore, {52} is {40\%} of { 130}.

#### Solution for 130 is what percent of 52:

130:52*100 =

( 130*100):52 =

13000:52 = 250

Now we have: 130 is what percent of 52 = 250

Question: 130 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\%}={ 130}.

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

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

{x\%}={ 130}(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}{ 130}

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

\frac{x\%}{100\%}=\frac{ 130}{52}

\Rightarrow{x} = {250\%}

Therefore, { 130} is {250\%} of {52}.

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