#### Solution for 100 is what percent of 1.600:

100:1.600*100 =

(100*100):1.600 =

10000:1.600 = 6250

Now we have: 100 is what percent of 1.600 = 6250

Question: 100 is what percent of 1.600?

Percentage solution with steps:

Step 1: We make the assumption that 1.600 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\%}={1.600}.

Step 4: In the same vein, {x\%}={100}.

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

{100\%}={1.600}(1).

{x\%}={100}(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{1.600}{100}

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

\frac{x\%}{100\%}=\frac{100}{1.600}

\Rightarrow{x} = {6250\%}

Therefore, {100} is {6250\%} of {1.600}.

#### Solution for 1.600 is what percent of 100:

1.600:100*100 =

(1.600*100):100 =

160:100 = 1.6

Now we have: 1.600 is what percent of 100 = 1.6

Question: 1.600 is what percent of 100?

Percentage solution with steps:

Step 1: We make the assumption that 100 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\%}={100}.

Step 4: In the same vein, {x\%}={1.600}.

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

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

{x\%}={1.600}(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{100}{1.600}

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

\frac{x\%}{100\%}=\frac{1.600}{100}

\Rightarrow{x} = {1.6\%}

Therefore, {1.600} is {1.6\%} of {100}.

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