0.9 is what percent of 59.85 - 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 59.85 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 59.85, so we can write it down as 100%=59.85.
4. We know, that x% equals 0.9 of the output value, so we can write it down as x%=0.9.
5. Now we have two simple equations:
1) 100%=59.85
2) x%=0.9
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%=59.85/0.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.9 is what percent of 59.85

100%/x%=59.85/0.9
(100/x)*x=(59.85/0.9)*x       - we multiply both sides of the equation by x
100=66.5*x       - we divide both sides of the equation by (66.5) to get x
100/66.5=x
1.5037593984962=x
x=1.5037593984962

now we have:
0.9 is 1.5037593984962% of 59.85