45 is what percent of 1161 - 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 1161 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 1161, so we can write it down as 100%=1161.
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%=1161
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%=1161/45
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 1161

100%/x%=1161/45
(100/x)*x=(1161/45)*x       - we multiply both sides of the equation by x
100=25.8*x       - we divide both sides of the equation by (25.8) to get x
100/25.8=x
3.8759689922481=x
x=3.8759689922481

now we have:
45 is 3.8759689922481% of 1161