1.67 is what percent of 66.76 - 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 66.76 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 66.76, so we can write it down as 100%=66.76.
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%=66.76
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%=66.76/1.67
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 66.76

100%/x%=66.76/1.67
(100/x)*x=(66.76/1.67)*x       - we multiply both sides of the equation by x
100=39.976047904192*x       - we divide both sides of the equation by (39.976047904192) to get x
100/39.976047904192=x
2.5014979029359=x
x=2.5014979029359

now we have:
1.67 is 2.5014979029359% of 66.76