179.5 is what percent of 297.1 - 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 297.1 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 297.1, so we can write it down as 100%=297.1.
4. We know, that x% equals 179.5 of the output value, so we can write it down as x%=179.5.
5. Now we have two simple equations:
1) 100%=297.1
2) x%=179.5
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%=297.1/179.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 179.5 is what percent of 297.1

100%/x%=297.1/179.5
(100/x)*x=(297.1/179.5)*x       - we multiply both sides of the equation by x
100=1.6551532033426*x       - we divide both sides of the equation by (1.6551532033426) to get x
100/1.6551532033426=x
60.417367889599=x
x=60.417367889599

now we have:
179.5 is 60.417367889599% of 297.1