10.75 is what percent of 15.05 - 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 15.05 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 15.05, so we can write it down as 100%=15.05.
4. We know, that x% equals 10.75 of the output value, so we can write it down as x%=10.75.
5. Now we have two simple equations:
1) 100%=15.05
2) x%=10.75
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%=15.05/10.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.75 is what percent of 15.05

100%/x%=15.05/10.75
(100/x)*x=(15.05/10.75)*x       - we multiply both sides of the equation by x
100=1.4*x       - we divide both sides of the equation by (1.4) to get x
100/1.4=x
71.428571428571=x
x=71.428571428571

now we have:
10.75 is 71.428571428571% of 15.05