What is 9.3 percent of 1.158 - 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 1.158 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 1.158 is 100%, so we can write it down as 1.158=100%.
4. We know, that x is 9.3% of the output value, so we can write it down as x=9.3%.
5. Now we have two simple equations:
1) 1.158=100%
2) x=9.3%
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:
1.158/x=100%/9.3%
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 9.3% of 1.158

1.158/x=100/9.3
(1.158/x)*x=(100/9.3)*x       - we multiply both sides of the equation by x
1.158=10.752688172043*x       - we divide both sides of the equation by (10.752688172043) to get x
1.158/10.752688172043=x
0.107694=x
x=0.107694

now we have:
9.3% of 1.158=0.107694