180.71 is what percent of 254.13 - 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 254.13 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 254.13, so we can write it down as 100%=254.13.
4. We know, that x% equals 180.71 of the output value, so we can write it down as x%=180.71.
5. Now we have two simple equations:
1) 100%=254.13
2) x%=180.71
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%=254.13/180.71
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 180.71 is what percent of 254.13

100%/x%=254.13/180.71
(100/x)*x=(254.13/180.71)*x       - we multiply both sides of the equation by x
100=1.4062863150905*x       - we divide both sides of the equation by (1.4062863150905) to get x
100/1.4062863150905=x
71.109274780624=x
x=71.109274780624

now we have:
180.71 is 71.109274780624% of 254.13