161.7 is what percent of 272.4 - 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 272.4 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 272.4, so we can write it down as 100%=272.4.
4. We know, that x% equals 161.7 of the output value, so we can write it down as x%=161.7.
5. Now we have two simple equations:
1) 100%=272.4
2) x%=161.7
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%=272.4/161.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 161.7 is what percent of 272.4

100%/x%=272.4/161.7
(100/x)*x=(272.4/161.7)*x       - we multiply both sides of the equation by x
100=1.6846011131725*x       - we divide both sides of the equation by (1.6846011131725) to get x
100/1.6846011131725=x
59.361233480176=x
x=59.361233480176

now we have:
161.7 is 59.361233480176% of 272.4