179.47 is what percent of 245.2 - 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 245.2 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 245.2, so we can write it down as 100%=245.2.
4. We know, that x% equals 179.47 of the output value, so we can write it down as x%=179.47.
5. Now we have two simple equations:
1) 100%=245.2
2) x%=179.47
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%=245.2/179.47
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 179.47 is what percent of 245.2

100%/x%=245.2/179.47
(100/x)*x=(245.2/179.47)*x       - we multiply both sides of the equation by x
100=1.3662450548838*x       - we divide both sides of the equation by (1.3662450548838) to get x
100/1.3662450548838=x
73.193311582382=x
x=73.193311582382

now we have:
179.47 is 73.193311582382% of 245.2