#### Solution for .97 is what percent of 23:

.97:23*100 =

(.97*100):23 =

97:23 = 4.22

Now we have: .97 is what percent of 23 = 4.22

Question: .97 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\%}={.97}.

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

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

{x\%}={.97}(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}{.97}

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

\frac{x\%}{100\%}=\frac{.97}{23}

\Rightarrow{x} = {4.22\%}

Therefore, {.97} is {4.22\%} of {23}.

#### Solution for 23 is what percent of .97:

23:.97*100 =

(23*100):.97 =

2300:.97 = 2371.13

Now we have: 23 is what percent of .97 = 2371.13

Question: 23 is what percent of .97?

Percentage solution with steps:

Step 1: We make the assumption that .97 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\%}={.97}.

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

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

{100\%}={.97}(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{.97}{23}

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

\frac{x\%}{100\%}=\frac{23}{.97}

\Rightarrow{x} = {2371.13\%}

Therefore, {23} is {2371.13\%} of {.97}.

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