#### Solution for 521 is what percent of 2646:

521:2646*100 =

(521*100):2646 =

52100:2646 = 19.69

Now we have: 521 is what percent of 2646 = 19.69

Question: 521 is what percent of 2646?

Percentage solution with steps:

Step 1: We make the assumption that 2646 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\%}={2646}.

Step 4: In the same vein, {x\%}={521}.

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

{100\%}={2646}(1).

{x\%}={521}(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{2646}{521}

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

\frac{x\%}{100\%}=\frac{521}{2646}

\Rightarrow{x} = {19.69\%}

Therefore, {521} is {19.69\%} of {2646}.

#### Solution for 2646 is what percent of 521:

2646:521*100 =

(2646*100):521 =

264600:521 = 507.87

Now we have: 2646 is what percent of 521 = 507.87

Question: 2646 is what percent of 521?

Percentage solution with steps:

Step 1: We make the assumption that 521 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\%}={521}.

Step 4: In the same vein, {x\%}={2646}.

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

{100\%}={521}(1).

{x\%}={2646}(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{521}{2646}

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

\frac{x\%}{100\%}=\frac{2646}{521}

\Rightarrow{x} = {507.87\%}

Therefore, {2646} is {507.87\%} of {521}.

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