2.03 is what percent of 0.045 - 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 0.045 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 0.045, so we can write it down as 100%=0.045.
4. We know, that x% equals 2.03 of the output value, so we can write it down as x%=2.03.
5. Now we have two simple equations:
1) 100%=0.045
2) x%=2.03
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%=0.045/2.03
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.03 is what percent of 0.045

100%/x%=0.045/2.03
(100/x)*x=(0.045/2.03)*x       - we multiply both sides of the equation by x
100=0.022167487684729*x       - we divide both sides of the equation by (0.022167487684729) to get x
100/0.022167487684729=x
4511.1111111111=x
x=4511.1111111111

now we have:
2.03 is 4511.1111111111% of 0.045