5.14 is what percent of 199.86 - 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 199.86 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 199.86, so we can write it down as 100%=199.86.
4. We know, that x% equals 5.14 of the output value, so we can write it down as x%=5.14.
5. Now we have two simple equations:
1) 100%=199.86
2) x%=5.14
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%=199.86/5.14
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.14 is what percent of 199.86

100%/x%=199.86/5.14
(100/x)*x=(199.86/5.14)*x       - we multiply both sides of the equation by x
100=38.88326848249*x       - we divide both sides of the equation by (38.88326848249) to get x
100/38.88326848249=x
2.5718002601821=x
x=2.5718002601821

now we have:
5.14 is 2.5718002601821% of 199.86