40 is what percent of 45.045 - 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 45.045 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 45.045, so we can write it down as 100%=45.045.
4. We know, that x% equals 40 of the output value, so we can write it down as x%=40.
5. Now we have two simple equations:
1) 100%=45.045
2) x%=40
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%=45.045/40
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40 is what percent of 45.045

100%/x%=45.045/40
(100/x)*x=(45.045/40)*x       - we multiply both sides of the equation by x
100=1.126125*x       - we divide both sides of the equation by (1.126125) to get x
100/1.126125=x
88.800088800089=x
x=88.800088800089

now we have:
40 is 88.800088800089% of 45.045