463.78 is what percent of 620 - 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 620 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 620, so we can write it down as 100%=620.
4. We know, that x% equals 463.78 of the output value, so we can write it down as x%=463.78.
5. Now we have two simple equations:
1) 100%=620
2) x%=463.78
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%=620/463.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 463.78 is what percent of 620

100%/x%=620/463.78
(100/x)*x=(620/463.78)*x       - we multiply both sides of the equation by x
100=1.3368407434559*x       - we divide both sides of the equation by (1.3368407434559) to get x
100/1.3368407434559=x
74.803225806452=x
x=74.803225806452

now we have:
463.78 is 74.803225806452% of 620