427.4 is what percent of 478 - 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 478 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 478, so we can write it down as 100%=478.
4. We know, that x% equals 427.4 of the output value, so we can write it down as x%=427.4.
5. Now we have two simple equations:
1) 100%=478
2) x%=427.4
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%=478/427.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 427.4 is what percent of 478

100%/x%=478/427.4
(100/x)*x=(478/427.4)*x       - we multiply both sides of the equation by x
100=1.1183902667291*x       - we divide both sides of the equation by (1.1183902667291) to get x
100/1.1183902667291=x
89.414225941423=x
x=89.414225941423

now we have:
427.4 is 89.414225941423% of 478