#### Solution for 42.1 is what percent of 79.8:

42.1:79.8*100 =

(42.1*100):79.8 =

4210:79.8 = 52.756892230576

Now we have: 42.1 is what percent of 79.8 = 52.756892230576

Question: 42.1 is what percent of 79.8?

Percentage solution with steps:

Step 1: We make the assumption that 79.8 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\%}={79.8}.

Step 4: In the same vein, {x\%}={42.1}.

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

{100\%}={79.8}(1).

{x\%}={42.1}(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{79.8}{42.1}

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

\frac{x\%}{100\%}=\frac{42.1}{79.8}

\Rightarrow{x} = {52.756892230576\%}

Therefore, {42.1} is {52.756892230576\%} of {79.8}.

#### Solution for 79.8 is what percent of 42.1:

79.8:42.1*100 =

(79.8*100):42.1 =

7980:42.1 = 189.5486935867

Now we have: 79.8 is what percent of 42.1 = 189.5486935867

Question: 79.8 is what percent of 42.1?

Percentage solution with steps:

Step 1: We make the assumption that 42.1 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\%}={42.1}.

Step 4: In the same vein, {x\%}={79.8}.

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

{100\%}={42.1}(1).

{x\%}={79.8}(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{42.1}{79.8}

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

\frac{x\%}{100\%}=\frac{79.8}{42.1}

\Rightarrow{x} = {189.5486935867\%}

Therefore, {79.8} is {189.5486935867\%} of {42.1}.

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