78.14 is what percent of 747.12 - 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 747.12 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 747.12, so we can write it down as 100%=747.12.
4. We know, that x% equals 78.14 of the output value, so we can write it down as x%=78.14.
5. Now we have two simple equations:
1) 100%=747.12
2) x%=78.14
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%=747.12/78.14
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 78.14 is what percent of 747.12

100%/x%=747.12/78.14
(100/x)*x=(747.12/78.14)*x       - we multiply both sides of the equation by x
100=9.5613002303558*x       - we divide both sides of the equation by (9.5613002303558) to get x
100/9.5613002303558=x
10.458828568369=x
x=10.458828568369

now we have:
78.14 is 10.458828568369% of 747.12