#### Solution for 310 is what percent of 358:

310:358*100 =

(310*100):358 =

31000:358 = 86.59

Now we have: 310 is what percent of 358 = 86.59

Question: 310 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\%}={310}.

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

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

{x\%}={310}(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}{310}

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

\frac{x\%}{100\%}=\frac{310}{358}

\Rightarrow{x} = {86.59\%}

Therefore, {310} is {86.59\%} of {358}.

#### Solution for 358 is what percent of 310:

358:310*100 =

(358*100):310 =

35800:310 = 115.48

Now we have: 358 is what percent of 310 = 115.48

Question: 358 is what percent of 310?

Percentage solution with steps:

Step 1: We make the assumption that 310 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\%}={310}.

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

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

{100\%}={310}(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{310}{358}

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

\frac{x\%}{100\%}=\frac{358}{310}

\Rightarrow{x} = {115.48\%}

Therefore, {358} is {115.48\%} of {310}.

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