70.9 is what percent of 110.98 - 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 110.98 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 110.98, so we can write it down as 100%=110.98.
4. We know, that x% equals 70.9 of the output value, so we can write it down as x%=70.9.
5. Now we have two simple equations:
1) 100%=110.98
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:
100%/x%=110.98/70.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 70.9 is what percent of 110.98

100%/x%=110.98/70.9
(100/x)*x=(110.98/70.9)*x       - we multiply both sides of the equation by x
100=1.5653032440056*x       - we divide both sides of the equation by (1.5653032440056) to get x
100/1.5653032440056=x
63.88538475401=x
x=63.88538475401

now we have:
70.9 is 63.88538475401% of 110.98