10.98 is what percent of 797.16 - 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 797.16 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 797.16, so we can write it down as 100%=797.16.
4. We know, that x% equals 10.98 of the output value, so we can write it down as x%=10.98.
5. Now we have two simple equations:
1) 100%=797.16
2) x%=10.98
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%=797.16/10.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.98 is what percent of 797.16

100%/x%=797.16/10.98
(100/x)*x=(797.16/10.98)*x       - we multiply both sides of the equation by x
100=72.601092896175*x       - we divide both sides of the equation by (72.601092896175) to get x
100/72.601092896175=x
1.3773897335541=x
x=1.3773897335541

now we have:
10.98 is 1.3773897335541% of 797.16