7.97 is what percent of 10.98 - 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 10.98 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 10.98, so we can write it down as 100%=10.98.
4. We know, that x% equals 7.97 of the output value, so we can write it down as x%=7.97.
5. Now we have two simple equations:
1) 100%=10.98
2) x%=7.97
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%=10.98/7.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.97 is what percent of 10.98

100%/x%=10.98/7.97
(100/x)*x=(10.98/7.97)*x       - we multiply both sides of the equation by x
100=1.3776662484316*x       - we divide both sides of the equation by (1.3776662484316) to get x
100/1.3776662484316=x
72.586520947177=x
x=72.586520947177

now we have:
7.97 is 72.586520947177% of 10.98