40 is what percent of 1057 - 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 1057 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 1057, so we can write it down as 100%=1057.
4. We know, that x% equals 40 of the output value, so we can write it down as x%=40.
5. Now we have two simple equations:
1) 100%=1057
2) x%=40
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%=1057/40
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40 is what percent of 1057

100%/x%=1057/40
(100/x)*x=(1057/40)*x       - we multiply both sides of the equation by x
100=26.425*x       - we divide both sides of the equation by (26.425) to get x
100/26.425=x
3.7842951750237=x
x=3.7842951750237

now we have:
40 is 3.7842951750237% of 1057