What is 70.9 percent of 110 - 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 110 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 110 is 100%, so we can write it down as 110=100%.
4. We know, that x is 70.9% of the output value, so we can write it down as x=70.9%.
5. Now we have two simple equations:
1) 110=100%
2) x=70.9%
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:
110/x=100%/70.9%
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 70.9% of 110

110/x=100/70.9
(110/x)*x=(100/70.9)*x       - we multiply both sides of the equation by x
110=1.410437235543*x       - we divide both sides of the equation by (1.410437235543) to get x
110/1.410437235543=x
77.99=x
x=77.99

now we have:
70.9% of 110=77.99