400.67 is what percent of 2567.23 - 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 2567.23 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 2567.23, so we can write it down as 100%=2567.23.
4. We know, that x% equals 400.67 of the output value, so we can write it down as x%=400.67.
5. Now we have two simple equations:
1) 100%=2567.23
2) x%=400.67
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%=2567.23/400.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 400.67 is what percent of 2567.23

100%/x%=2567.23/400.67
(100/x)*x=(2567.23/400.67)*x       - we multiply both sides of the equation by x
100=6.4073427009759*x       - we divide both sides of the equation by (6.4073427009759) to get x
100/6.4073427009759=x
15.607094027415=x
x=15.607094027415

now we have:
400.67 is 15.607094027415% of 2567.23