#### Solution for 10.01 is what percent of 33.97:

10.01:33.97*100 =

(10.01*100):33.97 =

1001:33.97 = 29.467176920812

Now we have: 10.01 is what percent of 33.97 = 29.467176920812

Question: 10.01 is what percent of 33.97?

Percentage solution with steps:

Step 1: We make the assumption that 33.97 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\%}={33.97}.

Step 4: In the same vein, {x\%}={10.01}.

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

{100\%}={33.97}(1).

{x\%}={10.01}(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{33.97}{10.01}

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

\frac{x\%}{100\%}=\frac{10.01}{33.97}

\Rightarrow{x} = {29.467176920812\%}

Therefore, {10.01} is {29.467176920812\%} of {33.97}.

#### Solution for 33.97 is what percent of 10.01:

33.97:10.01*100 =

(33.97*100):10.01 =

3397:10.01 = 339.36063936064

Now we have: 33.97 is what percent of 10.01 = 339.36063936064

Question: 33.97 is what percent of 10.01?

Percentage solution with steps:

Step 1: We make the assumption that 10.01 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\%}={10.01}.

Step 4: In the same vein, {x\%}={33.97}.

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

{100\%}={10.01}(1).

{x\%}={33.97}(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{10.01}{33.97}

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

\frac{x\%}{100\%}=\frac{33.97}{10.01}

\Rightarrow{x} = {339.36063936064\%}

Therefore, {33.97} is {339.36063936064\%} of {10.01}.

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