60.46 is what percent of 677.29 - 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 677.29 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 677.29, so we can write it down as 100%=677.29.
4. We know, that x% equals 60.46 of the output value, so we can write it down as x%=60.46.
5. Now we have two simple equations:
1) 100%=677.29
2) x%=60.46
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%=677.29/60.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 60.46 is what percent of 677.29

100%/x%=677.29/60.46
(100/x)*x=(677.29/60.46)*x       - we multiply both sides of the equation by x
100=11.202282500827*x       - we divide both sides of the equation by (11.202282500827) to get x
100/11.202282500827=x
8.9267522036351=x
x=8.9267522036351

now we have:
60.46 is 8.9267522036351% of 677.29