381.25 is what percent of 382.5 - 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 382.5 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 382.5, so we can write it down as 100%=382.5.
4. We know, that x% equals 381.25 of the output value, so we can write it down as x%=381.25.
5. Now we have two simple equations:
1) 100%=382.5
2) x%=381.25
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%=382.5/381.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 381.25 is what percent of 382.5

100%/x%=382.5/381.25
(100/x)*x=(382.5/381.25)*x       - we multiply both sides of the equation by x
100=1.0032786885246*x       - we divide both sides of the equation by (1.0032786885246) to get x
100/1.0032786885246=x
99.673202614379=x
x=99.673202614379

now we have:
381.25 is 99.673202614379% of 382.5