51.89 is what percent of 173.11 - 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 173.11 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 173.11, so we can write it down as 100%=173.11.
4. We know, that x% equals 51.89 of the output value, so we can write it down as x%=51.89.
5. Now we have two simple equations:
1) 100%=173.11
2) x%=51.89
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%=173.11/51.89
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 51.89 is what percent of 173.11

100%/x%=173.11/51.89
(100/x)*x=(173.11/51.89)*x       - we multiply both sides of the equation by x
100=3.3360955868183*x       - we divide both sides of the equation by (3.3360955868183) to get x
100/3.3360955868183=x
29.975160302698=x
x=29.975160302698

now we have:
51.89 is 29.975160302698% of 173.11