#### Solution for 3.0 is what percent of 5.7:

3.0:5.7*100 =

(3.0*100):5.7 =

300:5.7 = 52.631578947368

Now we have: 3.0 is what percent of 5.7 = 52.631578947368

Question: 3.0 is what percent of 5.7?

Percentage solution with steps:

Step 1: We make the assumption that 5.7 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\%}={5.7}.

Step 4: In the same vein, {x\%}={3.0}.

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

{100\%}={5.7}(1).

{x\%}={3.0}(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{5.7}{3.0}

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

\frac{x\%}{100\%}=\frac{3.0}{5.7}

\Rightarrow{x} = {52.631578947368\%}

Therefore, {3.0} is {52.631578947368\%} of {5.7}.

#### Solution for 5.7 is what percent of 3.0:

5.7:3.0*100 =

(5.7*100):3.0 =

570:3.0 = 190

Now we have: 5.7 is what percent of 3.0 = 190

Question: 5.7 is what percent of 3.0?

Percentage solution with steps:

Step 1: We make the assumption that 3.0 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\%}={3.0}.

Step 4: In the same vein, {x\%}={5.7}.

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

{100\%}={3.0}(1).

{x\%}={5.7}(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{3.0}{5.7}

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

\frac{x\%}{100\%}=\frac{5.7}{3.0}

\Rightarrow{x} = {190\%}

Therefore, {5.7} is {190\%} of {3.0}.

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