80.89 is what percent of 1442 - 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 1442 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 1442, so we can write it down as 100%=1442.
4. We know, that x% equals 80.89 of the output value, so we can write it down as x%=80.89.
5. Now we have two simple equations:
1) 100%=1442
2) x%=80.89
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%=1442/80.89
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 80.89 is what percent of 1442

100%/x%=1442/80.89
(100/x)*x=(1442/80.89)*x       - we multiply both sides of the equation by x
100=17.82667820497*x       - we divide both sides of the equation by (17.82667820497) to get x
100/17.82667820497=x
5.6095700416089=x
x=5.6095700416089

now we have:
80.89 is 5.6095700416089% of 1442