509.85 is what percent of 453.77 - 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 453.77 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 453.77, so we can write it down as 100%=453.77.
4. We know, that x% equals 509.85 of the output value, so we can write it down as x%=509.85.
5. Now we have two simple equations:
1) 100%=453.77
2) x%=509.85
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%=453.77/509.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 509.85 is what percent of 453.77

100%/x%=453.77/509.85
(100/x)*x=(453.77/509.85)*x       - we multiply both sides of the equation by x
100=0.89000686476415*x       - we divide both sides of the equation by (0.89000686476415) to get x
100/0.89000686476415=x
112.35868391476=x
x=112.35868391476

now we have:
509.85 is 112.35868391476% of 453.77