10.67 is what percent of 17.95 - 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 17.95 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 17.95, so we can write it down as 100%=17.95.
4. We know, that x% equals 10.67 of the output value, so we can write it down as x%=10.67.
5. Now we have two simple equations:
1) 100%=17.95
2) x%=10.67
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%=17.95/10.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.67 is what percent of 17.95

100%/x%=17.95/10.67
(100/x)*x=(17.95/10.67)*x       - we multiply both sides of the equation by x
100=1.6822867853796*x       - we divide both sides of the equation by (1.6822867853796) to get x
100/1.6822867853796=x
59.442896935933=x
x=59.442896935933

now we have:
10.67 is 59.442896935933% of 17.95