#### Solution for 42 is what percent of 386:

42:386*100 =

(42*100):386 =

4200:386 = 10.88

Now we have: 42 is what percent of 386 = 10.88

Question: 42 is what percent of 386?

Percentage solution with steps:

Step 1: We make the assumption that 386 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\%}={386}.

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

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

{100\%}={386}(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{386}{42}

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

\frac{x\%}{100\%}=\frac{42}{386}

\Rightarrow{x} = {10.88\%}

Therefore, {42} is {10.88\%} of {386}.

#### Solution for 386 is what percent of 42:

386:42*100 =

(386*100):42 =

38600:42 = 919.05

Now we have: 386 is what percent of 42 = 919.05

Question: 386 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\%}={386}.

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

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

{x\%}={386}(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}{386}

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

\frac{x\%}{100\%}=\frac{386}{42}

\Rightarrow{x} = {919.05\%}

Therefore, {386} is {919.05\%} of {42}.

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