#### Solution for 54 is what percent of 350:

54:350*100 =

(54*100):350 =

5400:350 = 15.43

Now we have: 54 is what percent of 350 = 15.43

Question: 54 is what percent of 350?

Percentage solution with steps:

Step 1: We make the assumption that 350 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\%}={350}.

Step 4: In the same vein, {x\%}={54}.

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

{100\%}={350}(1).

{x\%}={54}(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{350}{54}

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

\frac{x\%}{100\%}=\frac{54}{350}

\Rightarrow{x} = {15.43\%}

Therefore, {54} is {15.43\%} of {350}.

#### Solution for 350 is what percent of 54:

350:54*100 =

(350*100):54 =

35000:54 = 648.15

Now we have: 350 is what percent of 54 = 648.15

Question: 350 is what percent of 54?

Percentage solution with steps:

Step 1: We make the assumption that 54 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\%}={54}.

Step 4: In the same vein, {x\%}={350}.

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

{100\%}={54}(1).

{x\%}={350}(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{54}{350}

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

\frac{x\%}{100\%}=\frac{350}{54}

\Rightarrow{x} = {648.15\%}

Therefore, {350} is {648.15\%} of {54}.

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