45.4 is what percent of 328.4 - 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 328.4 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 328.4, so we can write it down as 100%=328.4.
4. We know, that x% equals 45.4 of the output value, so we can write it down as x%=45.4.
5. Now we have two simple equations:
1) 100%=328.4
2) x%=45.4
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%=328.4/45.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45.4 is what percent of 328.4

100%/x%=328.4/45.4
(100/x)*x=(328.4/45.4)*x       - we multiply both sides of the equation by x
100=7.2334801762115*x       - we divide both sides of the equation by (7.2334801762115) to get x
100/7.2334801762115=x
13.824604141291=x
x=13.824604141291

now we have:
45.4 is 13.824604141291% of 328.4