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Solution for 30 is what percent of 1600:

30:1600*100 =

(30*100):1600 =

3000:1600 = 1.88

Now we have: 30 is what percent of 1600 = 1.88

Question: 30 is what percent of 1600?

Percentage solution with steps:

Step 1: We make the assumption that 1600 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\%}={1600}.

Step 4: In the same vein, {x\%}={30}.

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

{100\%}={1600}(1).

{x\%}={30}(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{1600}{30}

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

\frac{x\%}{100\%}=\frac{30}{1600}

\Rightarrow{x} = {1.88\%}

Therefore, {30} is {1.88\%} of {1600}.

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Solution for 1600 is what percent of 30:

1600:30*100 =

(1600*100):30 =

160000:30 = 5333.33

Now we have: 1600 is what percent of 30 = 5333.33

Question: 1600 is what percent of 30?

Percentage solution with steps:

Step 1: We make the assumption that 30 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\%}={30}.

Step 4: In the same vein, {x\%}={1600}.

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

{100\%}={30}(1).

{x\%}={1600}(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{30}{1600}

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

\frac{x\%}{100\%}=\frac{1600}{30}

\Rightarrow{x} = {5333.33\%}

Therefore, {1600} is {5333.33\%} of {30}.