#### Solution for 156 is what percent of 385:

156:385*100 =

(156*100):385 =

15600:385 = 40.52

Now we have: 156 is what percent of 385 = 40.52

Question: 156 is what percent of 385?

Percentage solution with steps:

Step 1: We make the assumption that 385 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\%}={385}.

Step 4: In the same vein, {x\%}={156}.

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

{100\%}={385}(1).

{x\%}={156}(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{385}{156}

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

\frac{x\%}{100\%}=\frac{156}{385}

\Rightarrow{x} = {40.52\%}

Therefore, {156} is {40.52\%} of {385}.

#### Solution for 385 is what percent of 156:

385:156*100 =

(385*100):156 =

38500:156 = 246.79

Now we have: 385 is what percent of 156 = 246.79

Question: 385 is what percent of 156?

Percentage solution with steps:

Step 1: We make the assumption that 156 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\%}={156}.

Step 4: In the same vein, {x\%}={385}.

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

{100\%}={156}(1).

{x\%}={385}(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{156}{385}

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

\frac{x\%}{100\%}=\frac{385}{156}

\Rightarrow{x} = {246.79\%}

Therefore, {385} is {246.79\%} of {156}.

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