60.3 is what percent of 158.5 - 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 158.5 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 158.5, so we can write it down as 100%=158.5.
4. We know, that x% equals 60.3 of the output value, so we can write it down as x%=60.3.
5. Now we have two simple equations:
1) 100%=158.5
2) x%=60.3
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%=158.5/60.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 60.3 is what percent of 158.5

100%/x%=158.5/60.3
(100/x)*x=(158.5/60.3)*x       - we multiply both sides of the equation by x
100=2.6285240464345*x       - we divide both sides of the equation by (2.6285240464345) to get x
100/2.6285240464345=x
38.044164037855=x
x=38.044164037855

now we have:
60.3 is 38.044164037855% of 158.5