11.87 is what percent of 345 - 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 345 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 345, so we can write it down as 100%=345.
4. We know, that x% equals 11.87 of the output value, so we can write it down as x%=11.87.
5. Now we have two simple equations:
1) 100%=345
2) x%=11.87
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%=345/11.87
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.87 is what percent of 345

100%/x%=345/11.87
(100/x)*x=(345/11.87)*x       - we multiply both sides of the equation by x
100=29.064869418703*x       - we divide both sides of the equation by (29.064869418703) to get x
100/29.064869418703=x
3.4405797101449=x
x=3.4405797101449

now we have:
11.87 is 3.4405797101449% of 345