790.68 is what percent of 1241.14 - 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 1241.14 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 1241.14, so we can write it down as 100%=1241.14.
4. We know, that x% equals 790.68 of the output value, so we can write it down as x%=790.68.
5. Now we have two simple equations:
1) 100%=1241.14
2) x%=790.68
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%=1241.14/790.68
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 790.68 is what percent of 1241.14

100%/x%=1241.14/790.68
(100/x)*x=(1241.14/790.68)*x       - we multiply both sides of the equation by x
100=1.5697121465068*x       - we divide both sides of the equation by (1.5697121465068) to get x
100/1.5697121465068=x
63.705947757707=x
x=63.705947757707

now we have:
790.68 is 63.705947757707% of 1241.14