12.86 is what percent of 217.84 - 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 217.84 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 217.84, so we can write it down as 100%=217.84.
4. We know, that x% equals 12.86 of the output value, so we can write it down as x%=12.86.
5. Now we have two simple equations:
1) 100%=217.84
2) x%=12.86
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%=217.84/12.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.86 is what percent of 217.84

100%/x%=217.84/12.86
(100/x)*x=(217.84/12.86)*x       - we multiply both sides of the equation by x
100=16.93934681182*x       - we divide both sides of the equation by (16.93934681182) to get x
100/16.93934681182=x
5.9034153507161=x
x=5.9034153507161

now we have:
12.86 is 5.9034153507161% of 217.84