28.7 is what percent of 45.4 - 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 45.4 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 45.4, so we can write it down as 100%=45.4.
4. We know, that x% equals 28.7 of the output value, so we can write it down as x%=28.7.
5. Now we have two simple equations:
1) 100%=45.4
2) x%=28.7
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%=45.4/28.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 28.7 is what percent of 45.4

100%/x%=45.4/28.7
(100/x)*x=(45.4/28.7)*x       - we multiply both sides of the equation by x
100=1.581881533101*x       - we divide both sides of the equation by (1.581881533101) to get x
100/1.581881533101=x
63.215859030837=x
x=63.215859030837

now we have:
28.7 is 63.215859030837% of 45.4