381.81 is what percent of 845 - 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 845 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 845, so we can write it down as 100%=845.
4. We know, that x% equals 381.81 of the output value, so we can write it down as x%=381.81.
5. Now we have two simple equations:
1) 100%=845
2) x%=381.81
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%=845/381.81
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 381.81 is what percent of 845

100%/x%=845/381.81
(100/x)*x=(845/381.81)*x       - we multiply both sides of the equation by x
100=2.2131426625809*x       - we divide both sides of the equation by (2.2131426625809) to get x
100/2.2131426625809=x
45.184615384615=x
x=45.184615384615

now we have:
381.81 is 45.184615384615% of 845