145.12 is what percent of 6993.63 - 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 6993.63 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 6993.63, so we can write it down as 100%=6993.63.
4. We know, that x% equals 145.12 of the output value, so we can write it down as x%=145.12.
5. Now we have two simple equations:
1) 100%=6993.63
2) x%=145.12
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%=6993.63/145.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 145.12 is what percent of 6993.63

100%/x%=6993.63/145.12
(100/x)*x=(6993.63/145.12)*x       - we multiply both sides of the equation by x
100=48.192047960309*x       - we divide both sides of the equation by (48.192047960309) to get x
100/48.192047960309=x
2.0750311354761=x
x=2.0750311354761

now we have:
145.12 is 2.0750311354761% of 6993.63