78.3 is what percent of 1012 - 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 1012 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 1012, so we can write it down as 100%=1012.
4. We know, that x% equals 78.3 of the output value, so we can write it down as x%=78.3.
5. Now we have two simple equations:
1) 100%=1012
2) x%=78.3
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%=1012/78.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 78.3 is what percent of 1012

100%/x%=1012/78.3
(100/x)*x=(1012/78.3)*x       - we multiply both sides of the equation by x
100=12.924648786718*x       - we divide both sides of the equation by (12.924648786718) to get x
100/12.924648786718=x
7.7371541501976=x
x=7.7371541501976

now we have:
78.3 is 7.7371541501976% of 1012