155.25 is what percent of 400 - 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 400 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 400, so we can write it down as 100%=400.
4. We know, that x% equals 155.25 of the output value, so we can write it down as x%=155.25.
5. Now we have two simple equations:
1) 100%=400
2) x%=155.25
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%=400/155.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 155.25 is what percent of 400

100%/x%=400/155.25
(100/x)*x=(400/155.25)*x       - we multiply both sides of the equation by x
100=2.5764895330113*x       - we divide both sides of the equation by (2.5764895330113) to get x
100/2.5764895330113=x
38.8125=x
x=38.8125

now we have:
155.25 is 38.8125% of 400