#### Solution for 358 is what percent of 430:

358:430*100 =

(358*100):430 =

35800:430 = 83.26

Now we have: 358 is what percent of 430 = 83.26

Question: 358 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\%}={358}.

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

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

{x\%}={358}(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}{358}

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

\frac{x\%}{100\%}=\frac{358}{430}

\Rightarrow{x} = {83.26\%}

Therefore, {358} is {83.26\%} of {430}.

#### Solution for 430 is what percent of 358:

430:358*100 =

(430*100):358 =

43000:358 = 120.11

Now we have: 430 is what percent of 358 = 120.11

Question: 430 is what percent of 358?

Percentage solution with steps:

Step 1: We make the assumption that 358 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\%}={358}.

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

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

{100\%}={358}(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{358}{430}

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

\frac{x\%}{100\%}=\frac{430}{358}

\Rightarrow{x} = {120.11\%}

Therefore, {430} is {120.11\%} of {358}.

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