#### Solution for 360 is what percent of 521:

360:521*100 =

(360*100):521 =

36000:521 = 69.1

Now we have: 360 is what percent of 521 = 69.1

Question: 360 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\%}={360}.

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

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

{x\%}={360}(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}{360}

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

\frac{x\%}{100\%}=\frac{360}{521}

\Rightarrow{x} = {69.1\%}

Therefore, {360} is {69.1\%} of {521}.

#### Solution for 521 is what percent of 360:

521:360*100 =

(521*100):360 =

52100:360 = 144.72

Now we have: 521 is what percent of 360 = 144.72

Question: 521 is what percent of 360?

Percentage solution with steps:

Step 1: We make the assumption that 360 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\%}={360}.

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

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

{100\%}={360}(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{360}{521}

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

\frac{x\%}{100\%}=\frac{521}{360}

\Rightarrow{x} = {144.72\%}

Therefore, {521} is {144.72\%} of {360}.

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