# Percentage Calculator

### 1.2 is what percent of 56.4?

#### Solution for 1.2 is what percent of 56.4:

1.2:56.4*100 =

(1.2*100):56.4 =

120:56.4 = 2.1276595744681

**Now we have: 1.2 is what percent of 56.4 = 2.1276595744681**

**Question: 1.2 is what percent of 56.4?**

Percentage solution with steps:

Step 1: We make the assumption that 56.4 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\%}={56.4}.

Step 4: In the same vein, {x\%}={1.2}.

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

{100\%}={56.4}(1).

{x\%}={1.2}(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{56.4}{1.2}

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

\frac{x\%}{100\%}=\frac{1.2}{56.4}

\Rightarrow{x} = {2.1276595744681\%}

Therefore, {1.2} is {2.1276595744681\%} of {56.4}.

#### Solution for 56.4 is what percent of 1.2:

56.4:1.2*100 =

(56.4*100):1.2 =

5640:1.2 = 4700

**Now we have: 56.4 is what percent of 1.2 = 4700**

**Question: 56.4 is what percent of 1.2?**

Percentage solution with steps:

Step 1: We make the assumption that 1.2 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\%}={1.2}.

Step 4: In the same vein, {x\%}={56.4}.

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

{100\%}={1.2}(1).

{x\%}={56.4}(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{1.2}{56.4}

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

\frac{x\%}{100\%}=\frac{56.4}{1.2}

\Rightarrow{x} = {4700\%}

Therefore, {56.4} is {4700\%} of {1.2}.

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