#### Solution for 52 is what percent of 137:

52:137*100 =

(52*100):137 =

5200:137 = 37.96

Now we have: 52 is what percent of 137 = 37.96

Question: 52 is what percent of 137?

Percentage solution with steps:

Step 1: We make the assumption that 137 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\%}={137}.

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

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

{100\%}={137}(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{137}{52}

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

\frac{x\%}{100\%}=\frac{52}{137}

\Rightarrow{x} = {37.96\%}

Therefore, {52} is {37.96\%} of {137}.

#### Solution for 137 is what percent of 52:

137:52*100 =

(137*100):52 =

13700:52 = 263.46

Now we have: 137 is what percent of 52 = 263.46

Question: 137 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\%}={137}.

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

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

{x\%}={137}(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}{137}

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

\frac{x\%}{100\%}=\frac{137}{52}

\Rightarrow{x} = {263.46\%}

Therefore, {137} is {263.46\%} of {52}.

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