478.61 is what percent of 4780 - 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 4780 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 4780, so we can write it down as 100%=4780.
4. We know, that x% equals 478.61 of the output value, so we can write it down as x%=478.61.
5. Now we have two simple equations:
1) 100%=4780
2) x%=478.61
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%=4780/478.61
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 478.61 is what percent of 4780

100%/x%=4780/478.61
(100/x)*x=(4780/478.61)*x       - we multiply both sides of the equation by x
100=9.9872547585717*x       - we divide both sides of the equation by (9.9872547585717) to get x
100/9.9872547585717=x
10.012761506276=x
x=10.012761506276

now we have:
478.61 is 10.012761506276% of 4780