10.23 is what percent of 132.54 - 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 132.54 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 132.54, so we can write it down as 100%=132.54.
4. We know, that x% equals 10.23 of the output value, so we can write it down as x%=10.23.
5. Now we have two simple equations:
1) 100%=132.54
2) x%=10.23
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%=132.54/10.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.23 is what percent of 132.54

100%/x%=132.54/10.23
(100/x)*x=(132.54/10.23)*x       - we multiply both sides of the equation by x
100=12.956011730205*x       - we divide both sides of the equation by (12.956011730205) to get x
100/12.956011730205=x
7.7184246265278=x
x=7.7184246265278

now we have:
10.23 is 7.7184246265278% of 132.54