#### Solution for 296 is what percent of 530:

296:530*100 =

(296*100):530 =

29600:530 = 55.85

Now we have: 296 is what percent of 530 = 55.85

Question: 296 is what percent of 530?

Percentage solution with steps:

Step 1: We make the assumption that 530 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\%}={530}.

Step 4: In the same vein, {x\%}={296}.

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

{100\%}={530}(1).

{x\%}={296}(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{530}{296}

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

\frac{x\%}{100\%}=\frac{296}{530}

\Rightarrow{x} = {55.85\%}

Therefore, {296} is {55.85\%} of {530}.

#### Solution for 530 is what percent of 296:

530:296*100 =

(530*100):296 =

53000:296 = 179.05

Now we have: 530 is what percent of 296 = 179.05

Question: 530 is what percent of 296?

Percentage solution with steps:

Step 1: We make the assumption that 296 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\%}={296}.

Step 4: In the same vein, {x\%}={530}.

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

{100\%}={296}(1).

{x\%}={530}(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{296}{530}

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

\frac{x\%}{100\%}=\frac{530}{296}

\Rightarrow{x} = {179.05\%}

Therefore, {530} is {179.05\%} of {296}.

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