#### Solution for 263 is what percent of 430:

263:430*100 =

(263*100):430 =

26300:430 = 61.16

Now we have: 263 is what percent of 430 = 61.16

Question: 263 is what percent of 430?

Percentage solution with steps:

Step 1: We make the assumption that 430 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\%}={430}.

Step 4: In the same vein, {x\%}={263}.

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

{100\%}={430}(1).

{x\%}={263}(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{430}{263}

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

\frac{x\%}{100\%}=\frac{263}{430}

\Rightarrow{x} = {61.16\%}

Therefore, {263} is {61.16\%} of {430}.

#### Solution for 430 is what percent of 263:

430:263*100 =

(430*100):263 =

43000:263 = 163.5

Now we have: 430 is what percent of 263 = 163.5

Question: 430 is what percent of 263?

Percentage solution with steps:

Step 1: We make the assumption that 263 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\%}={263}.

Step 4: In the same vein, {x\%}={430}.

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

{100\%}={263}(1).

{x\%}={430}(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{263}{430}

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

\frac{x\%}{100\%}=\frac{430}{263}

\Rightarrow{x} = {163.5\%}

Therefore, {430} is {163.5\%} of {263}.

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