50.75 is what percent of 560.79 - 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 560.79 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 560.79, so we can write it down as 100%=560.79.
4. We know, that x% equals 50.75 of the output value, so we can write it down as x%=50.75.
5. Now we have two simple equations:
1) 100%=560.79
2) x%=50.75
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%=560.79/50.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 50.75 is what percent of 560.79

100%/x%=560.79/50.75
(100/x)*x=(560.79/50.75)*x       - we multiply both sides of the equation by x
100=11.050049261084*x       - we divide both sides of the equation by (11.050049261084) to get x
100/11.050049261084=x
9.0497334117941=x
x=9.0497334117941

now we have:
50.75 is 9.0497334117941% of 560.79