21.86 is what percent of 1183.42 - 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 1183.42 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 1183.42, so we can write it down as 100%=1183.42.
4. We know, that x% equals 21.86 of the output value, so we can write it down as x%=21.86.
5. Now we have two simple equations:
1) 100%=1183.42
2) x%=21.86
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%=1183.42/21.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 21.86 is what percent of 1183.42

100%/x%=1183.42/21.86
(100/x)*x=(1183.42/21.86)*x       - we multiply both sides of the equation by x
100=54.136322049405*x       - we divide both sides of the equation by (54.136322049405) to get x
100/54.136322049405=x
1.8471886566054=x
x=1.8471886566054

now we have:
21.86 is 1.8471886566054% of 1183.42