#### Solution for 1500 is what percent of 420:

1500:420*100 =

(1500*100):420 =

150000:420 = 357.14

Now we have: 1500 is what percent of 420 = 357.14

Question: 1500 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\%}={1500}.

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

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

{x\%}={1500}(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}{1500}

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

\frac{x\%}{100\%}=\frac{1500}{420}

\Rightarrow{x} = {357.14\%}

Therefore, {1500} is {357.14\%} of {420}.

#### Solution for 420 is what percent of 1500:

420:1500*100 =

(420*100):1500 =

42000:1500 = 28

Now we have: 420 is what percent of 1500 = 28

Question: 420 is what percent of 1500?

Percentage solution with steps:

Step 1: We make the assumption that 1500 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\%}={1500}.

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

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

{100\%}={1500}(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{1500}{420}

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

\frac{x\%}{100\%}=\frac{420}{1500}

\Rightarrow{x} = {28\%}

Therefore, {420} is {28\%} of {1500}.

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