8.45 is what percent of 11.765 - 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 11.765 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 11.765, so we can write it down as 100%=11.765.
4. We know, that x% equals 8.45 of the output value, so we can write it down as x%=8.45.
5. Now we have two simple equations:
1) 100%=11.765
2) x%=8.45
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%=11.765/8.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.45 is what percent of 11.765

100%/x%=11.765/8.45
(100/x)*x=(11.765/8.45)*x       - we multiply both sides of the equation by x
100=1.3923076923077*x       - we divide both sides of the equation by (1.3923076923077) to get x
100/1.3923076923077=x
71.823204419889=x
x=71.823204419889

now we have:
8.45 is 71.823204419889% of 11.765