#### Solution for 2.400 is what percent of 6.000:

2.400: 6.000*100 =

(2.400*100): 6.000 =

240: 6.000 = 40

Now we have: 2.400 is what percent of 6.000 = 40

Question: 2.400 is what percent of 6.000?

Percentage solution with steps:

Step 1: We make the assumption that 6.000 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\%}={ 6.000}.

Step 4: In the same vein, {x\%}={2.400}.

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

{100\%}={ 6.000}(1).

{x\%}={2.400}(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{ 6.000}{2.400}

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

\frac{x\%}{100\%}=\frac{2.400}{ 6.000}

\Rightarrow{x} = {40\%}

Therefore, {2.400} is {40\%} of { 6.000}.

#### Solution for 6.000 is what percent of 2.400:

6.000:2.400*100 =

( 6.000*100):2.400 =

600:2.400 = 250

Now we have: 6.000 is what percent of 2.400 = 250

Question: 6.000 is what percent of 2.400?

Percentage solution with steps:

Step 1: We make the assumption that 2.400 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\%}={2.400}.

Step 4: In the same vein, {x\%}={ 6.000}.

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

{100\%}={2.400}(1).

{x\%}={ 6.000}(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{2.400}{ 6.000}

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

\frac{x\%}{100\%}=\frac{ 6.000}{2.400}

\Rightarrow{x} = {250\%}

Therefore, { 6.000} is {250\%} of {2.400}.

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