#### Solution for 1.96 is what percent of 2:

1.96:2*100 =

(1.96*100):2 =

196:2 = 98

Now we have: 1.96 is what percent of 2 = 98

Question: 1.96 is what percent of 2?

Percentage solution with steps:

Step 1: We make the assumption that 2 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\%}={2}.

Step 4: In the same vein, {x\%}={1.96}.

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

{100\%}={2}(1).

{x\%}={1.96}(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{2}{1.96}

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

\frac{x\%}{100\%}=\frac{1.96}{2}

\Rightarrow{x} = {98\%}

Therefore, {1.96} is {98\%} of {2}.

#### Solution for 2 is what percent of 1.96:

2:1.96*100 =

(2*100):1.96 =

200:1.96 = 102.04081632653

Now we have: 2 is what percent of 1.96 = 102.04081632653

Question: 2 is what percent of 1.96?

Percentage solution with steps:

Step 1: We make the assumption that 1.96 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\%}={1.96}.

Step 4: In the same vein, {x\%}={2}.

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

{100\%}={1.96}(1).

{x\%}={2}(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{1.96}{2}

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

\frac{x\%}{100\%}=\frac{2}{1.96}

\Rightarrow{x} = {102.04081632653\%}

Therefore, {2} is {102.04081632653\%} of {1.96}.

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