28.9 is what percent of 38.9 - 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 38.9 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 38.9, so we can write it down as 100%=38.9.
4. We know, that x% equals 28.9 of the output value, so we can write it down as x%=28.9.
5. Now we have two simple equations:
1) 100%=38.9
2) x%=28.9
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%=38.9/28.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 28.9 is what percent of 38.9

100%/x%=38.9/28.9
(100/x)*x=(38.9/28.9)*x       - we multiply both sides of the equation by x
100=1.3460207612457*x       - we divide both sides of the equation by (1.3460207612457) to get x
100/1.3460207612457=x
74.293059125964=x
x=74.293059125964

now we have:
28.9 is 74.293059125964% of 38.9