#### Solution for 238 is what percent of 278:

238:278*100 =

(238*100):278 =

23800:278 = 85.61

Now we have: 238 is what percent of 278 = 85.61

Question: 238 is what percent of 278?

Percentage solution with steps:

Step 1: We make the assumption that 278 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\%}={278}.

Step 4: In the same vein, {x\%}={238}.

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

{100\%}={278}(1).

{x\%}={238}(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{278}{238}

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

\frac{x\%}{100\%}=\frac{238}{278}

\Rightarrow{x} = {85.61\%}

Therefore, {238} is {85.61\%} of {278}.

#### Solution for 278 is what percent of 238:

278:238*100 =

(278*100):238 =

27800:238 = 116.81

Now we have: 278 is what percent of 238 = 116.81

Question: 278 is what percent of 238?

Percentage solution with steps:

Step 1: We make the assumption that 238 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\%}={238}.

Step 4: In the same vein, {x\%}={278}.

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

{100\%}={238}(1).

{x\%}={278}(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{238}{278}

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

\frac{x\%}{100\%}=\frac{278}{238}

\Rightarrow{x} = {116.81\%}

Therefore, {278} is {116.81\%} of {238}.

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