478.2 is what percent of 796.66 - 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 796.66 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 796.66, so we can write it down as 100%=796.66.
4. We know, that x% equals 478.2 of the output value, so we can write it down as x%=478.2.
5. Now we have two simple equations:
1) 100%=796.66
2) x%=478.2
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%=796.66/478.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 478.2 is what percent of 796.66

100%/x%=796.66/478.2
(100/x)*x=(796.66/478.2)*x       - we multiply both sides of the equation by x
100=1.6659556670849*x       - we divide both sides of the equation by (1.6659556670849) to get x
100/1.6659556670849=x
60.025606908844=x
x=60.025606908844

now we have:
478.2 is 60.025606908844% of 796.66