1002.02 is what percent of 2452.93 - 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 2452.93 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 2452.93, so we can write it down as 100%=2452.93.
4. We know, that x% equals 1002.02 of the output value, so we can write it down as x%=1002.02.
5. Now we have two simple equations:
1) 100%=2452.93
2) x%=1002.02
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%=2452.93/1002.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1002.02 is what percent of 2452.93

100%/x%=2452.93/1002.02
(100/x)*x=(2452.93/1002.02)*x       - we multiply both sides of the equation by x
100=2.4479850701583*x       - we divide both sides of the equation by (2.4479850701583) to get x
100/2.4479850701583=x
40.849922337776=x
x=40.849922337776

now we have:
1002.02 is 40.849922337776% of 2452.93