557.76 is what percent of 516.48 - 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 516.48 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 516.48, so we can write it down as 100%=516.48.
4. We know, that x% equals 557.76 of the output value, so we can write it down as x%=557.76.
5. Now we have two simple equations:
1) 100%=516.48
2) x%=557.76
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%=516.48/557.76
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 557.76 is what percent of 516.48

100%/x%=516.48/557.76
(100/x)*x=(516.48/557.76)*x       - we multiply both sides of the equation by x
100=0.92598967297762*x       - we divide both sides of the equation by (0.92598967297762) to get x
100/0.92598967297762=x
107.99256505576=x
x=107.99256505576

now we have:
557.76 is 107.99256505576% of 516.48