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Solution for 905 is what percent of 42:

905:42*100 =

(905*100):42 =

90500:42 = 2154.76

Now we have: 905 is what percent of 42 = 2154.76

Question: 905 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\%}={905}.

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

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

{x\%}={905}(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}{905}

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

\frac{x\%}{100\%}=\frac{905}{42}

\Rightarrow{x} = {2154.76\%}

Therefore, {905} is {2154.76\%} of {42}.

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Solution for 42 is what percent of 905:

42:905*100 =

(42*100):905 =

4200:905 = 4.64

Now we have: 42 is what percent of 905 = 4.64

Question: 42 is what percent of 905?

Percentage solution with steps:

Step 1: We make the assumption that 905 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\%}={905}.

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

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

{100\%}={905}(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{905}{42}

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

\frac{x\%}{100\%}=\frac{42}{905}

\Rightarrow{x} = {4.64\%}

Therefore, {42} is {4.64\%} of {905}.