8.3 is what percent of 78.2 - 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 78.2 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 78.2, so we can write it down as 100%=78.2.
4. We know, that x% equals 8.3 of the output value, so we can write it down as x%=8.3.
5. Now we have two simple equations:
1) 100%=78.2
2) x%=8.3
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%=78.2/8.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.3 is what percent of 78.2

100%/x%=78.2/8.3
(100/x)*x=(78.2/8.3)*x       - we multiply both sides of the equation by x
100=9.421686746988*x       - we divide both sides of the equation by (9.421686746988) to get x
100/9.421686746988=x
10.613810741688=x
x=10.613810741688

now we have:
8.3 is 10.613810741688% of 78.2