378.35 is what percent of 362.99 - 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 362.99 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 362.99, so we can write it down as 100%=362.99.
4. We know, that x% equals 378.35 of the output value, so we can write it down as x%=378.35.
5. Now we have two simple equations:
1) 100%=362.99
2) x%=378.35
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%=362.99/378.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 378.35 is what percent of 362.99

100%/x%=362.99/378.35
(100/x)*x=(362.99/378.35)*x       - we multiply both sides of the equation by x
100=0.95940266948593*x       - we divide both sides of the equation by (0.95940266948593) to get x
100/0.95940266948593=x
104.23152152952=x
x=104.23152152952

now we have:
378.35 is 104.23152152952% of 362.99