17.85 is what percent of 267.05 - 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 267.05 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 267.05, so we can write it down as 100%=267.05.
4. We know, that x% equals 17.85 of the output value, so we can write it down as x%=17.85.
5. Now we have two simple equations:
1) 100%=267.05
2) x%=17.85
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%=267.05/17.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 17.85 is what percent of 267.05

100%/x%=267.05/17.85
(100/x)*x=(267.05/17.85)*x       - we multiply both sides of the equation by x
100=14.960784313725*x       - we divide both sides of the equation by (14.960784313725) to get x
100/14.960784313725=x
6.6841415465269=x
x=6.6841415465269

now we have:
17.85 is 6.6841415465269% of 267.05