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Solution for 358 is what percent of 46:

358:46*100 =

(358*100):46 =

35800:46 = 778.26

Now we have: 358 is what percent of 46 = 778.26

Question: 358 is what percent of 46?

Percentage solution with steps:

Step 1: We make the assumption that 46 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\%}={46}.

Step 4: In the same vein, {x\%}={358}.

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

{100\%}={46}(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{46}{358}

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

\frac{x\%}{100\%}=\frac{358}{46}

\Rightarrow{x} = {778.26\%}

Therefore, {358} is {778.26\%} of {46}.

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Solution for 46 is what percent of 358:

46:358*100 =

(46*100):358 =

4600:358 = 12.85

Now we have: 46 is what percent of 358 = 12.85

Question: 46 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\%}={46}.

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

{100\%}={358}(1).

{x\%}={46}(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}{46}

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

\frac{x\%}{100\%}=\frac{46}{358}

\Rightarrow{x} = {12.85\%}

Therefore, {46} is {12.85\%} of {358}.