84.4 is what percent of 1381.52 - 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 1381.52 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 1381.52, so we can write it down as 100%=1381.52.
4. We know, that x% equals 84.4 of the output value, so we can write it down as x%=84.4.
5. Now we have two simple equations:
1) 100%=1381.52
2) x%=84.4
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%=1381.52/84.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 84.4 is what percent of 1381.52

100%/x%=1381.52/84.4
(100/x)*x=(1381.52/84.4)*x       - we multiply both sides of the equation by x
100=16.368720379147*x       - we divide both sides of the equation by (16.368720379147) to get x
100/16.368720379147=x
6.1092130407088=x
x=6.1092130407088

now we have:
84.4 is 6.1092130407088% of 1381.52