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Solution for 105 is what percent of 42:

105:42*100 =

(105*100):42 =

10500:42 = 250

Now we have: 105 is what percent of 42 = 250

Question: 105 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}.

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

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

{x\%}={105}(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}

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

\frac{x\%}{100\%}=\frac{105}{42}

\Rightarrow{x} = {250\%}

Therefore, {105} is {250\%} of {42}.

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Solution for 42 is what percent of 105:

42:105*100 =

(42*100):105 =

4200:105 = 40

Now we have: 42 is what percent of 105 = 40

Question: 42 is what percent of 105?

Percentage solution with steps:

Step 1: We make the assumption that 105 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}.

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

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

{100\%}={105}(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}{42}

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

\frac{x\%}{100\%}=\frac{42}{105}

\Rightarrow{x} = {40\%}

Therefore, {42} is {40\%} of {105}.