381.55 is what percent of 400.25 - 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 400.25 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 400.25, so we can write it down as 100%=400.25.
4. We know, that x% equals 381.55 of the output value, so we can write it down as x%=381.55.
5. Now we have two simple equations:
1) 100%=400.25
2) x%=381.55
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%=400.25/381.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 381.55 is what percent of 400.25

100%/x%=400.25/381.55
(100/x)*x=(400.25/381.55)*x       - we multiply both sides of the equation by x
100=1.0490106145983*x       - we divide both sides of the equation by (1.0490106145983) to get x
100/1.0490106145983=x
95.327920049969=x
x=95.327920049969

now we have:
381.55 is 95.327920049969% of 400.25