102.45 is what percent of 382.45 - 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 382.45 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 382.45, so we can write it down as 100%=382.45.
4. We know, that x% equals 102.45 of the output value, so we can write it down as x%=102.45.
5. Now we have two simple equations:
1) 100%=382.45
2) x%=102.45
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%=382.45/102.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 102.45 is what percent of 382.45

100%/x%=382.45/102.45
(100/x)*x=(382.45/102.45)*x       - we multiply both sides of the equation by x
100=3.7330405075647*x       - we divide both sides of the equation by (3.7330405075647) to get x
100/3.7330405075647=x
26.787815400706=x
x=26.787815400706

now we have:
102.45 is 26.787815400706% of 382.45