#### Solution for 705 is what percent of 1600:

705:1600*100 =

(705*100):1600 =

70500:1600 = 44.06

Now we have: 705 is what percent of 1600 = 44.06

Question: 705 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\%}={705}.

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

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

{x\%}={705}(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}{705}

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

\frac{x\%}{100\%}=\frac{705}{1600}

\Rightarrow{x} = {44.06\%}

Therefore, {705} is {44.06\%} of {1600}.

#### Solution for 1600 is what percent of 705:

1600:705*100 =

(1600*100):705 =

160000:705 = 226.95

Now we have: 1600 is what percent of 705 = 226.95

Question: 1600 is what percent of 705?

Percentage solution with steps:

Step 1: We make the assumption that 705 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\%}={705}.

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

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

{100\%}={705}(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{705}{1600}

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

\frac{x\%}{100\%}=\frac{1600}{705}

\Rightarrow{x} = {226.95\%}

Therefore, {1600} is {226.95\%} of {705}.

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