509.91 is what percent of 369.5 - 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 369.5 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 369.5, so we can write it down as 100%=369.5.
4. We know, that x% equals 509.91 of the output value, so we can write it down as x%=509.91.
5. Now we have two simple equations:
1) 100%=369.5
2) x%=509.91
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%=369.5/509.91
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 509.91 is what percent of 369.5

100%/x%=369.5/509.91
(100/x)*x=(369.5/509.91)*x       - we multiply both sides of the equation by x
100=0.72463768115942*x       - we divide both sides of the equation by (0.72463768115942) to get x
100/0.72463768115942=x
138=x
x=138

now we have:
509.91 is 138% of 369.5