382.75 is what percent of 376.75 - 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 376.75 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 376.75, so we can write it down as 100%=376.75.
4. We know, that x% equals 382.75 of the output value, so we can write it down as x%=382.75.
5. Now we have two simple equations:
1) 100%=376.75
2) x%=382.75
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%=376.75/382.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 382.75 is what percent of 376.75

100%/x%=376.75/382.75
(100/x)*x=(376.75/382.75)*x       - we multiply both sides of the equation by x
100=0.98432397126061*x       - we divide both sides of the equation by (0.98432397126061) to get x
100/0.98432397126061=x
101.59256801593=x
x=101.59256801593

now we have:
382.75 is 101.59256801593% of 376.75