175.73 is what percent of 5114.39 - 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 5114.39 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 5114.39, so we can write it down as 100%=5114.39.
4. We know, that x% equals 175.73 of the output value, so we can write it down as x%=175.73.
5. Now we have two simple equations:
1) 100%=5114.39
2) x%=175.73
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%=5114.39/175.73
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 175.73 is what percent of 5114.39

100%/x%=5114.39/175.73
(100/x)*x=(5114.39/175.73)*x       - we multiply both sides of the equation by x
100=29.103681784556*x       - we divide both sides of the equation by (29.103681784556) to get x
100/29.103681784556=x
3.4359913890024=x
x=3.4359913890024

now we have:
175.73 is 3.4359913890024% of 5114.39