378.98 is what percent of 1405.15 - 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 1405.15 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 1405.15, so we can write it down as 100%=1405.15.
4. We know, that x% equals 378.98 of the output value, so we can write it down as x%=378.98.
5. Now we have two simple equations:
1) 100%=1405.15
2) x%=378.98
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%=1405.15/378.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 378.98 is what percent of 1405.15

100%/x%=1405.15/378.98
(100/x)*x=(1405.15/378.98)*x       - we multiply both sides of the equation by x
100=3.7077154467254*x       - we divide both sides of the equation by (3.7077154467254) to get x
100/3.7077154467254=x
26.970786037078=x
x=26.970786037078

now we have:
378.98 is 26.970786037078% of 1405.15