#### Solution for 355 is what percent of 430:

355:430*100 =

(355*100):430 =

35500:430 = 82.56

Now we have: 355 is what percent of 430 = 82.56

Question: 355 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\%}={355}.

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

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

{x\%}={355}(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}{355}

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

\frac{x\%}{100\%}=\frac{355}{430}

\Rightarrow{x} = {82.56\%}

Therefore, {355} is {82.56\%} of {430}.

#### Solution for 430 is what percent of 355:

430:355*100 =

(430*100):355 =

43000:355 = 121.13

Now we have: 430 is what percent of 355 = 121.13

Question: 430 is what percent of 355?

Percentage solution with steps:

Step 1: We make the assumption that 355 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\%}={355}.

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

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

{100\%}={355}(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{355}{430}

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

\frac{x\%}{100\%}=\frac{430}{355}

\Rightarrow{x} = {121.13\%}

Therefore, {430} is {121.13\%} of {355}.

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