160.08 is what percent of 267.75 - 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 267.75 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 267.75, so we can write it down as 100%=267.75.
4. We know, that x% equals 160.08 of the output value, so we can write it down as x%=160.08.
5. Now we have two simple equations:
1) 100%=267.75
2) x%=160.08
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%=267.75/160.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 160.08 is what percent of 267.75

100%/x%=267.75/160.08
(100/x)*x=(267.75/160.08)*x       - we multiply both sides of the equation by x
100=1.6726011994003*x       - we divide both sides of the equation by (1.6726011994003) to get x
100/1.6726011994003=x
59.787114845938=x
x=59.787114845938

now we have:
160.08 is 59.787114845938% of 267.75