376.77 is what percent of 509.15 - 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 509.15 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 509.15, so we can write it down as 100%=509.15.
4. We know, that x% equals 376.77 of the output value, so we can write it down as x%=376.77.
5. Now we have two simple equations:
1) 100%=509.15
2) x%=376.77
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%=509.15/376.77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 376.77 is what percent of 509.15

100%/x%=509.15/376.77
(100/x)*x=(509.15/376.77)*x       - we multiply both sides of the equation by x
100=1.3513549380259*x       - we divide both sides of the equation by (1.3513549380259) to get x
100/1.3513549380259=x
73.999803594226=x
x=73.999803594226

now we have:
376.77 is 73.999803594226% of 509.15