#### Solution for 420 is what percent of 600:

420:600*100 =

(420*100):600 =

42000:600 = 70

Now we have: 420 is what percent of 600 = 70

Question: 420 is what percent of 600?

Percentage solution with steps:

Step 1: We make the assumption that 600 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\%}={600}.

Step 4: In the same vein, {x\%}={420}.

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

{100\%}={600}(1).

{x\%}={420}(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{600}{420}

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

\frac{x\%}{100\%}=\frac{420}{600}

\Rightarrow{x} = {70\%}

Therefore, {420} is {70\%} of {600}.

#### Solution for 600 is what percent of 420:

600:420*100 =

(600*100):420 =

60000:420 = 142.86

Now we have: 600 is what percent of 420 = 142.86

Question: 600 is what percent of 420?

Percentage solution with steps:

Step 1: We make the assumption that 420 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\%}={420}.

Step 4: In the same vein, {x\%}={600}.

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

{100\%}={420}(1).

{x\%}={600}(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{420}{600}

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

\frac{x\%}{100\%}=\frac{600}{420}

\Rightarrow{x} = {142.86\%}

Therefore, {600} is {142.86\%} of {420}.

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