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Solution for 56 is what percent of 16:

56:16*100 =

(56*100):16 =

5600:16 = 350

Now we have: 56 is what percent of 16 = 350

Question: 56 is what percent of 16?

Percentage solution with steps:

Step 1: We make the assumption that 16 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\%}={16}.

Step 4: In the same vein, {x\%}={56}.

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

{100\%}={16}(1).

{x\%}={56}(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{16}{56}

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

\frac{x\%}{100\%}=\frac{56}{16}

\Rightarrow{x} = {350\%}

Therefore, {56} is {350\%} of {16}.

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Solution for 16 is what percent of 56:

16:56*100 =

(16*100):56 =

1600:56 = 28.57

Now we have: 16 is what percent of 56 = 28.57

Question: 16 is what percent of 56?

Percentage solution with steps:

Step 1: We make the assumption that 56 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\%}={56}.

Step 4: In the same vein, {x\%}={16}.

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

{100\%}={56}(1).

{x\%}={16}(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{56}{16}

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

\frac{x\%}{100\%}=\frac{16}{56}

\Rightarrow{x} = {28.57\%}

Therefore, {16} is {28.57\%} of {56}.