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Solution for 42 is what percent of 466:

42:466*100 =

(42*100):466 =

4200:466 = 9.01

Now we have: 42 is what percent of 466 = 9.01

Question: 42 is what percent of 466?

Percentage solution with steps:

Step 1: We make the assumption that 466 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\%}={466}.

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

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

{100\%}={466}(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{466}{42}

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

\frac{x\%}{100\%}=\frac{42}{466}

\Rightarrow{x} = {9.01\%}

Therefore, {42} is {9.01\%} of {466}.

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Solution for 466 is what percent of 42:

466:42*100 =

(466*100):42 =

46600:42 = 1109.52

Now we have: 466 is what percent of 42 = 1109.52

Question: 466 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\%}={466}.

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

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

{x\%}={466}(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}{466}

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

\frac{x\%}{100\%}=\frac{466}{42}

\Rightarrow{x} = {1109.52\%}

Therefore, {466} is {1109.52\%} of {42}.