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Solution for 105.7 is what percent of 42:

105.7:42*100 =

(105.7*100):42 =

10570:42 = 251.66666666667

Now we have: 105.7 is what percent of 42 = 251.66666666667

Question: 105.7 is what percent of 42?

Percentage solution with steps:

Step 1: We make the assumption that 42 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}.

Step 4: In the same vein, {x\%}={105.7}.

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

{100\%}={42}(1).

{x\%}={105.7}(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{42}{105.7}

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

\frac{x\%}{100\%}=\frac{105.7}{42}

\Rightarrow{x} = {251.66666666667\%}

Therefore, {105.7} is {251.66666666667\%} of {42}.

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• 105.7 is what percent of 17 = 621.76
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• 105.7 is what percent of 42 = 251.67
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• 105.7 is what percent of 100 = 105.7

Solution for 42 is what percent of 105.7:

42:105.7*100 =

(42*100):105.7 =

4200:105.7 = 39.735099337748

Now we have: 42 is what percent of 105.7 = 39.735099337748

Question: 42 is what percent of 105.7?

Percentage solution with steps:

Step 1: We make the assumption that 105.7 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\%}={105.7}.

Step 4: In the same vein, {x\%}={42}.

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

{100\%}={105.7}(1).

{x\%}={42}(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{105.7}{42}

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

\frac{x\%}{100\%}=\frac{42}{105.7}

\Rightarrow{x} = {39.735099337748\%}

Therefore, {42} is {39.735099337748\%} of {105.7}.