465.16 is what percent of 783.36 - 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 783.36 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 783.36, so we can write it down as 100%=783.36.
4. We know, that x% equals 465.16 of the output value, so we can write it down as x%=465.16.
5. Now we have two simple equations:
1) 100%=783.36
2) x%=465.16
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%=783.36/465.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 465.16 is what percent of 783.36

100%/x%=783.36/465.16
(100/x)*x=(783.36/465.16)*x       - we multiply both sides of the equation by x
100=1.6840656978244*x       - we divide both sides of the equation by (1.6840656978244) to get x
100/1.6840656978244=x
59.38010620915=x
x=59.38010620915

now we have:
465.16 is 59.38010620915% of 783.36