56666.67 is what percent of 170000 - 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 170000 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 170000, so we can write it down as 100%=170000.
4. We know, that x% equals 56666.67 of the output value, so we can write it down as x%=56666.67.
5. Now we have two simple equations:
1) 100%=170000
2) x%=56666.67
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%=170000/56666.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 56666.67 is what percent of 170000

100%/x%=170000/56666.67
(100/x)*x=(170000/56666.67)*x       - we multiply both sides of the equation by x
100=2.9999998235294*x       - we divide both sides of the equation by (2.9999998235294) to get x
100/2.9999998235294=x
33.333335294118=x
x=33.333335294118

now we have:
56666.67 is 33.333335294118% of 170000