5.11 is what percent of 175.96 - 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 175.96 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 175.96, so we can write it down as 100%=175.96.
4. We know, that x% equals 5.11 of the output value, so we can write it down as x%=5.11.
5. Now we have two simple equations:
1) 100%=175.96
2) x%=5.11
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%=175.96/5.11
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.11 is what percent of 175.96

100%/x%=175.96/5.11
(100/x)*x=(175.96/5.11)*x       - we multiply both sides of the equation by x
100=34.434442270059*x       - we divide both sides of the equation by (34.434442270059) to get x
100/34.434442270059=x
2.9040691066151=x
x=2.9040691066151

now we have:
5.11 is 2.9040691066151% of 175.96