10.3 is what percent of 146.52 - 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 146.52 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 146.52, so we can write it down as 100%=146.52.
4. We know, that x% equals 10.3 of the output value, so we can write it down as x%=10.3.
5. Now we have two simple equations:
1) 100%=146.52
2) x%=10.3
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%=146.52/10.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.3 is what percent of 146.52

100%/x%=146.52/10.3
(100/x)*x=(146.52/10.3)*x       - we multiply both sides of the equation by x
100=14.225242718447*x       - we divide both sides of the equation by (14.225242718447) to get x
100/14.225242718447=x
7.029757029757=x
x=7.029757029757

now we have:
10.3 is 7.029757029757% of 146.52