145.05 is what percent of 1043.33 - 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 1043.33 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 1043.33, so we can write it down as 100%=1043.33.
4. We know, that x% equals 145.05 of the output value, so we can write it down as x%=145.05.
5. Now we have two simple equations:
1) 100%=1043.33
2) x%=145.05
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%=1043.33/145.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 145.05 is what percent of 1043.33

100%/x%=1043.33/145.05
(100/x)*x=(1043.33/145.05)*x       - we multiply both sides of the equation by x
100=7.1928990003447*x       - we divide both sides of the equation by (7.1928990003447) to get x
100/7.1928990003447=x
13.902600327797=x
x=13.902600327797

now we have:
145.05 is 13.902600327797% of 1043.33