134.7 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 134.7 of the output value, so we can write it down as x%=134.7.
5. Now we have two simple equations:
1) 100%=478
2) x%=134.7
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%=478/134.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 134.7 is what percent of 478

100%/x%=478/134.7
(100/x)*x=(478/134.7)*x       - we multiply both sides of the equation by x
100=3.5486265775798*x       - we divide both sides of the equation by (3.5486265775798) to get x
100/3.5486265775798=x
28.179916317992=x
x=28.179916317992

now we have:
134.7 is 28.179916317992% of 478