0.17 is what percent of 0.67 - 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 0.67 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 0.67, so we can write it down as 100%=0.67.
4. We know, that x% equals 0.17 of the output value, so we can write it down as x%=0.17.
5. Now we have two simple equations:
1) 100%=0.67
2) x%=0.17
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%=0.67/0.17
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.17 is what percent of 0.67

100%/x%=0.67/0.17
(100/x)*x=(0.67/0.17)*x       - we multiply both sides of the equation by x
100=3.9411764705882*x       - we divide both sides of the equation by (3.9411764705882) to get x
100/3.9411764705882=x
25.373134328358=x
x=25.373134328358

now we have:
0.17 is 25.373134328358% of 0.67