45 is what percent of 27.45 - 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 27.45 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 27.45, so we can write it down as 100%=27.45.
4. We know, that x% equals 45 of the output value, so we can write it down as x%=45.
5. Now we have two simple equations:
1) 100%=27.45
2) x%=45
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%=27.45/45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45 is what percent of 27.45

100%/x%=27.45/45
(100/x)*x=(27.45/45)*x       - we multiply both sides of the equation by x
100=0.61*x       - we divide both sides of the equation by (0.61) to get x
100/0.61=x
163.93442622951=x
x=163.93442622951

now we have:
45 is 163.93442622951% of 27.45