1005.38 is what percent of 2957.78 - 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 2957.78 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 2957.78, so we can write it down as 100%=2957.78.
4. We know, that x% equals 1005.38 of the output value, so we can write it down as x%=1005.38.
5. Now we have two simple equations:
1) 100%=2957.78
2) x%=1005.38
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%=2957.78/1005.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1005.38 is what percent of 2957.78

100%/x%=2957.78/1005.38
(100/x)*x=(2957.78/1005.38)*x       - we multiply both sides of the equation by x
100=2.9419522966441*x       - we divide both sides of the equation by (2.9419522966441) to get x
100/2.9419522966441=x
33.991033815902=x
x=33.991033815902

now we have:
1005.38 is 33.991033815902% of 2957.78