736.68 is what percent of 1087.12 - 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 1087.12 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 1087.12, so we can write it down as 100%=1087.12.
4. We know, that x% equals 736.68 of the output value, so we can write it down as x%=736.68.
5. Now we have two simple equations:
1) 100%=1087.12
2) x%=736.68
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%=1087.12/736.68
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 736.68 is what percent of 1087.12

100%/x%=1087.12/736.68
(100/x)*x=(1087.12/736.68)*x       - we multiply both sides of the equation by x
100=1.4757017972525*x       - we divide both sides of the equation by (1.4757017972525) to get x
100/1.4757017972525=x
67.764368239017=x
x=67.764368239017

now we have:
736.68 is 67.764368239017% of 1087.12