45.01 is what percent of 153.87 - 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 153.87 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 153.87, so we can write it down as 100%=153.87.
4. We know, that x% equals 45.01 of the output value, so we can write it down as x%=45.01.
5. Now we have two simple equations:
1) 100%=153.87
2) x%=45.01
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%=153.87/45.01
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45.01 is what percent of 153.87

100%/x%=153.87/45.01
(100/x)*x=(153.87/45.01)*x       - we multiply both sides of the equation by x
100=3.4185736502999*x       - we divide both sides of the equation by (3.4185736502999) to get x
100/3.4185736502999=x
29.251965945278=x
x=29.251965945278

now we have:
45.01 is 29.251965945278% of 153.87