175.21 is what percent of 260.006 - 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 260.006 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 260.006, so we can write it down as 100%=260.006.
4. We know, that x% equals 175.21 of the output value, so we can write it down as x%=175.21.
5. Now we have two simple equations:
1) 100%=260.006
2) x%=175.21
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%=260.006/175.21
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 175.21 is what percent of 260.006

100%/x%=260.006/175.21
(100/x)*x=(260.006/175.21)*x       - we multiply both sides of the equation by x
100=1.4839678100565*x       - we divide both sides of the equation by (1.4839678100565) to get x
100/1.4839678100565=x
67.386906456005=x
x=67.386906456005

now we have:
175.21 is 67.386906456005% of 260.006