11.86 is what percent of 1014.51 - 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 1014.51 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 1014.51, so we can write it down as 100%=1014.51.
4. We know, that x% equals 11.86 of the output value, so we can write it down as x%=11.86.
5. Now we have two simple equations:
1) 100%=1014.51
2) x%=11.86
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%=1014.51/11.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.86 is what percent of 1014.51

100%/x%=1014.51/11.86
(100/x)*x=(1014.51/11.86)*x       - we multiply both sides of the equation by x
100=85.540472175379*x       - we divide both sides of the equation by (85.540472175379) to get x
100/85.540472175379=x
1.1690372692236=x
x=1.1690372692236

now we have:
11.86 is 1.1690372692236% of 1014.51