#### Solution for .23 is what percent of 2.00:

.23:2.00*100 =

(.23*100):2.00 =

23:2.00 = 11.5

Now we have: .23 is what percent of 2.00 = 11.5

Question: .23 is what percent of 2.00?

Percentage solution with steps:

Step 1: We make the assumption that 2.00 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\%}={2.00}.

Step 4: In the same vein, {x\%}={.23}.

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

{100\%}={2.00}(1).

{x\%}={.23}(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{2.00}{.23}

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

\frac{x\%}{100\%}=\frac{.23}{2.00}

\Rightarrow{x} = {11.5\%}

Therefore, {.23} is {11.5\%} of {2.00}.

#### Solution for 2.00 is what percent of .23:

2.00:.23*100 =

(2.00*100):.23 =

200:.23 = 869.5652173913

Now we have: 2.00 is what percent of .23 = 869.5652173913

Question: 2.00 is what percent of .23?

Percentage solution with steps:

Step 1: We make the assumption that .23 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\%}={.23}.

Step 4: In the same vein, {x\%}={2.00}.

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

{100\%}={.23}(1).

{x\%}={2.00}(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{.23}{2.00}

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

\frac{x\%}{100\%}=\frac{2.00}{.23}

\Rightarrow{x} = {869.5652173913\%}

Therefore, {2.00} is {869.5652173913\%} of {.23}.

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