#### Solution for 219 is what percent of 358:

219:358*100 =

(219*100):358 =

21900:358 = 61.17

Now we have: 219 is what percent of 358 = 61.17

Question: 219 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\%}={219}.

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

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

{x\%}={219}(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}{219}

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

\frac{x\%}{100\%}=\frac{219}{358}

\Rightarrow{x} = {61.17\%}

Therefore, {219} is {61.17\%} of {358}.

#### Solution for 358 is what percent of 219:

358:219*100 =

(358*100):219 =

35800:219 = 163.47

Now we have: 358 is what percent of 219 = 163.47

Question: 358 is what percent of 219?

Percentage solution with steps:

Step 1: We make the assumption that 219 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\%}={219}.

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

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

{100\%}={219}(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{219}{358}

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

\frac{x\%}{100\%}=\frac{358}{219}

\Rightarrow{x} = {163.47\%}

Therefore, {358} is {163.47\%} of {219}.

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