What is 72.222222222222 percent of 10.74 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 10.74 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 10.74 is 100%, so we can write it down as 10.74=100%.
4. We know, that x is 72.222222222222% of the output value, so we can write it down as x=72.222222222222%.
5. Now we have two simple equations:
1) 10.74=100%
2) x=72.222222222222%
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:
10.74/x=100%/72.222222222222%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 72.222222222222% of 10.74

10.74/x=100/72.222222222222
(10.74/x)*x=(100/72.222222222222)*x       - we multiply both sides of the equation by x
10.74=1.3846153846154*x       - we divide both sides of the equation by (1.3846153846154) to get x
10.74/1.3846153846154=x
7.7566666666666=x
x=7.7566666666666

now we have:
72.222222222222% of 10.74=7.7566666666666