#### Solution for 6000 is what percent of 4200:

6000:4200*100 =

(6000*100):4200 =

600000:4200 = 142.86

Now we have: 6000 is what percent of 4200 = 142.86

Question: 6000 is what percent of 4200?

Percentage solution with steps:

Step 1: We make the assumption that 4200 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\%}={4200}.

Step 4: In the same vein, {x\%}={6000}.

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

{100\%}={4200}(1).

{x\%}={6000}(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{4200}{6000}

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

\frac{x\%}{100\%}=\frac{6000}{4200}

\Rightarrow{x} = {142.86\%}

Therefore, {6000} is {142.86\%} of {4200}.

#### Solution for 4200 is what percent of 6000:

4200:6000*100 =

(4200*100):6000 =

420000:6000 = 70

Now we have: 4200 is what percent of 6000 = 70

Question: 4200 is what percent of 6000?

Percentage solution with steps:

Step 1: We make the assumption that 6000 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\%}={6000}.

Step 4: In the same vein, {x\%}={4200}.

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

{100\%}={6000}(1).

{x\%}={4200}(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{6000}{4200}

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

\frac{x\%}{100\%}=\frac{4200}{6000}

\Rightarrow{x} = {70\%}

Therefore, {4200} is {70\%} of {6000}.

Calculation Samples