1.67 is what percent of 10.15 - 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 10.15 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 10.15, so we can write it down as 100%=10.15.
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%=10.15
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%=10.15/1.67
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 10.15

100%/x%=10.15/1.67
(100/x)*x=(10.15/1.67)*x       - we multiply both sides of the equation by x
100=6.0778443113772*x       - we divide both sides of the equation by (6.0778443113772) to get x
100/6.0778443113772=x
16.453201970443=x
x=16.453201970443

now we have:
1.67 is 16.453201970443% of 10.15