295.75 is what percent of 179.75 - 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 179.75 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 179.75, so we can write it down as 100%=179.75.
4. We know, that x% equals 295.75 of the output value, so we can write it down as x%=295.75.
5. Now we have two simple equations:
1) 100%=179.75
2) x%=295.75
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%=179.75/295.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 295.75 is what percent of 179.75

100%/x%=179.75/295.75
(100/x)*x=(179.75/295.75)*x       - we multiply both sides of the equation by x
100=0.60777683854607*x       - we divide both sides of the equation by (0.60777683854607) to get x
100/0.60777683854607=x
164.53407510431=x
x=164.53407510431

now we have:
295.75 is 164.53407510431% of 179.75