5.86 is what percent of 271.08 - 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 271.08 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 271.08, so we can write it down as 100%=271.08.
4. We know, that x% equals 5.86 of the output value, so we can write it down as x%=5.86.
5. Now we have two simple equations:
1) 100%=271.08
2) x%=5.86
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%=271.08/5.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.86 is what percent of 271.08

100%/x%=271.08/5.86
(100/x)*x=(271.08/5.86)*x       - we multiply both sides of the equation by x
100=46.259385665529*x       - we divide both sides of the equation by (46.259385665529) to get x
100/46.259385665529=x
2.1617234764645=x
x=2.1617234764645

now we have:
5.86 is 2.1617234764645% of 271.08