8.95 is what percent of 14.098 - 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 14.098 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 14.098, so we can write it down as 100%=14.098.
4. We know, that x% equals 8.95 of the output value, so we can write it down as x%=8.95.
5. Now we have two simple equations:
1) 100%=14.098
2) x%=8.95
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%=14.098/8.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.95 is what percent of 14.098

100%/x%=14.098/8.95
(100/x)*x=(14.098/8.95)*x       - we multiply both sides of the equation by x
100=1.5751955307263*x       - we divide both sides of the equation by (1.5751955307263) to get x
100/1.5751955307263=x
63.484182153497=x
x=63.484182153497

now we have:
8.95 is 63.484182153497% of 14.098