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Solution for 163 is what percent of 380:

163:380*100 =

(163*100):380 =

16300:380 = 42.89

Now we have: 163 is what percent of 380 = 42.89

Question: 163 is what percent of 380?

Percentage solution with steps:

Step 1: We make the assumption that 380 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\%}={380}.

Step 4: In the same vein, {x\%}={163}.

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

{100\%}={380}(1).

{x\%}={163}(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{380}{163}

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

\frac{x\%}{100\%}=\frac{163}{380}

\Rightarrow{x} = {42.89\%}

Therefore, {163} is {42.89\%} of {380}.

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Solution for 380 is what percent of 163:

380:163*100 =

(380*100):163 =

38000:163 = 233.13

Now we have: 380 is what percent of 163 = 233.13

Question: 380 is what percent of 163?

Percentage solution with steps:

Step 1: We make the assumption that 163 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\%}={163}.

Step 4: In the same vein, {x\%}={380}.

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

{100\%}={163}(1).

{x\%}={380}(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{163}{380}

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

\frac{x\%}{100\%}=\frac{380}{163}

\Rightarrow{x} = {233.13\%}

Therefore, {380} is {233.13\%} of {163}.