#### Solution for 224 is what percent of 358:

224:358*100 =

(224*100):358 =

22400:358 = 62.57

Now we have: 224 is what percent of 358 = 62.57

Question: 224 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\%}={224}.

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

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

{x\%}={224}(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}{224}

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

\frac{x\%}{100\%}=\frac{224}{358}

\Rightarrow{x} = {62.57\%}

Therefore, {224} is {62.57\%} of {358}.

#### Solution for 358 is what percent of 224:

358:224*100 =

(358*100):224 =

35800:224 = 159.82

Now we have: 358 is what percent of 224 = 159.82

Question: 358 is what percent of 224?

Percentage solution with steps:

Step 1: We make the assumption that 224 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\%}={224}.

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

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

{100\%}={224}(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{224}{358}

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

\frac{x\%}{100\%}=\frac{358}{224}

\Rightarrow{x} = {159.82\%}

Therefore, {358} is {159.82\%} of {224}.

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