Question

Find the value of:
26.4 = 2.4​

Answer 1

Step-by-step explanation:

We assume, that the number 26.4 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 26.4, so we can write it down as 100%=26.4.

4. We know, that x% equals 2.4 of the output value, so we can write it down as x%=2.4.

5. Now we have two simple equations:

1) 100%=26.4

2) x%=2.4

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=26.4/2.4

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.4 is what percent of 26.4

100%/x%=26.4/2.4

(100/x)*x=(26.4/2.4)*x       - we multiply both sides of the equation by x

100=11*x       - we divide both sides of the equation by (11) to get x

100/11=x

9.0909090909091=x

x=9.0909090909091

now we have:

2.4 is 9.0909090909091% of 26.4