#### Solution for 36 is what percent of 343:

36:343*100 =

(36*100):343 =

3600:343 = 10.5

Now we have: 36 is what percent of 343 = 10.5

Question: 36 is what percent of 343?

Percentage solution with steps:

Step 1: We make the assumption that 343 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\%}={343}.

Step 4: In the same vein, {x\%}={36}.

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

{100\%}={343}(1).

{x\%}={36}(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{343}{36}

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

\frac{x\%}{100\%}=\frac{36}{343}

\Rightarrow{x} = {10.5\%}

Therefore, {36} is {10.5\%} of {343}.

#### Solution for 343 is what percent of 36:

343:36*100 =

(343*100):36 =

34300:36 = 952.78

Now we have: 343 is what percent of 36 = 952.78

Question: 343 is what percent of 36?

Percentage solution with steps:

Step 1: We make the assumption that 36 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\%}={36}.

Step 4: In the same vein, {x\%}={343}.

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

{100\%}={36}(1).

{x\%}={343}(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{36}{343}

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

\frac{x\%}{100\%}=\frac{343}{36}

\Rightarrow{x} = {952.78\%}

Therefore, {343} is {952.78\%} of {36}.

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