# Percentage Calculator

### 38 is what percent of 70?

#### Solution for 38 is what percent of 70:

38:70*100 =

(38*100):70 =

3800:70 = 54.29

**Now we have: 38 is what percent of 70 = 54.29**

**Question: 38 is what percent of 70?**

Percentage solution with steps:

Step 1: We make the assumption that 70 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\%}={70}.

Step 4: In the same vein, {x\%}={38}.

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

{100\%}={70}(1).

{x\%}={38}(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{70}{38}

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

\frac{x\%}{100\%}=\frac{38}{70}

\Rightarrow{x} = {54.29\%}

Therefore, {38} is {54.29\%} of {70}.

#### Solution for 70 is what percent of 38:

70:38*100 =

(70*100):38 =

7000:38 = 184.21

**Now we have: 70 is what percent of 38 = 184.21**

**Question: 70 is what percent of 38?**

Percentage solution with steps:

Step 1: We make the assumption that 38 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\%}={38}.

Step 4: In the same vein, {x\%}={70}.

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

{100\%}={38}(1).

{x\%}={70}(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{38}{70}

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

\frac{x\%}{100\%}=\frac{70}{38}

\Rightarrow{x} = {184.21\%}

Therefore, {70} is {184.21\%} of {38}.

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