#### Solution for 52 is what percent of 1460:

52:1460*100 =

(52*100):1460 =

5200:1460 = 3.56

Now we have: 52 is what percent of 1460 = 3.56

Question: 52 is what percent of 1460?

Percentage solution with steps:

Step 1: We make the assumption that 1460 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\%}={1460}.

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

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

{100\%}={1460}(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{1460}{52}

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

\frac{x\%}{100\%}=\frac{52}{1460}

\Rightarrow{x} = {3.56\%}

Therefore, {52} is {3.56\%} of {1460}.

#### Solution for 1460 is what percent of 52:

1460:52*100 =

(1460*100):52 =

146000:52 = 2807.69

Now we have: 1460 is what percent of 52 = 2807.69

Question: 1460 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\%}={1460}.

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

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

{x\%}={1460}(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}{1460}

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

\frac{x\%}{100\%}=\frac{1460}{52}

\Rightarrow{x} = {2807.69\%}

Therefore, {1460} is {2807.69\%} of {52}.

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