11.75 is what percent of 8.46 - 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 8.46 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 8.46, so we can write it down as 100%=8.46.
4. We know, that x% equals 11.75 of the output value, so we can write it down as x%=11.75.
5. Now we have two simple equations:
1) 100%=8.46
2) x%=11.75
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%=8.46/11.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.75 is what percent of 8.46

100%/x%=8.46/11.75
(100/x)*x=(8.46/11.75)*x       - we multiply both sides of the equation by x
100=0.72*x       - we divide both sides of the equation by (0.72) to get x
100/0.72=x
138.88888888889=x
x=138.88888888889

now we have:
11.75 is 138.88888888889% of 8.46