1.67 is what percent of 8.53 - 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 8.53 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 8.53, so we can write it down as 100%=8.53.
4. We know, that x% equals 1.67 of the output value, so we can write it down as x%=1.67.
5. Now we have two simple equations:
1) 100%=8.53
2) x%=1.67
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%=8.53/1.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.67 is what percent of 8.53

100%/x%=8.53/1.67
(100/x)*x=(8.53/1.67)*x       - we multiply both sides of the equation by x
100=5.1077844311377*x       - we divide both sides of the equation by (5.1077844311377) to get x
100/5.1077844311377=x
19.57796014068=x
x=19.57796014068

now we have:
1.67 is 19.57796014068% of 8.53