45 is what percent of 181.36 - 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 181.36 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 181.36, so we can write it down as 100%=181.36.
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%=181.36
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%=181.36/45
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 181.36

100%/x%=181.36/45
(100/x)*x=(181.36/45)*x       - we multiply both sides of the equation by x
100=4.0302222222222*x       - we divide both sides of the equation by (4.0302222222222) to get x
100/4.0302222222222=x
24.812527569475=x
x=24.812527569475

now we have:
45 is 24.812527569475% of 181.36