#### Solution for 278 is what percent of 5:

278:5*100 =

(278*100):5 =

27800:5 = 5560

Now we have: 278 is what percent of 5 = 5560

Question: 278 is what percent of 5?

Percentage solution with steps:

Step 1: We make the assumption that 5 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\%}={5}.

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

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

{100\%}={5}(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{5}{278}

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

\frac{x\%}{100\%}=\frac{278}{5}

\Rightarrow{x} = {5560\%}

Therefore, {278} is {5560\%} of {5}.

#### Solution for 5 is what percent of 278:

5:278*100 =

(5*100):278 =

500:278 = 1.8

Now we have: 5 is what percent of 278 = 1.8

Question: 5 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\%}={5}.

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

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

{x\%}={5}(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}{5}

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

\frac{x\%}{100\%}=\frac{5}{278}

\Rightarrow{x} = {1.8\%}

Therefore, {5} is {1.8\%} of {278}.

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