80.2 is what percent of 1015 - 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 1015 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 1015, so we can write it down as 100%=1015.
4. We know, that x% equals 80.2 of the output value, so we can write it down as x%=80.2.
5. Now we have two simple equations:
1) 100%=1015
2) x%=80.2
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%=1015/80.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 80.2 is what percent of 1015

100%/x%=1015/80.2
(100/x)*x=(1015/80.2)*x       - we multiply both sides of the equation by x
100=12.655860349127*x       - we divide both sides of the equation by (12.655860349127) to get x
100/12.655860349127=x
7.9014778325123=x
x=7.9014778325123

now we have:
80.2 is 7.9014778325123% of 1015