23.03 is what percent of 82.35 - 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 82.35 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 82.35, so we can write it down as 100%=82.35.
4. We know, that x% equals 23.03 of the output value, so we can write it down as x%=23.03.
5. Now we have two simple equations:
1) 100%=82.35
2) x%=23.03
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%=82.35/23.03
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 23.03 is what percent of 82.35

100%/x%=82.35/23.03
(100/x)*x=(82.35/23.03)*x       - we multiply both sides of the equation by x
100=3.5757707338254*x       - we divide both sides of the equation by (3.5757707338254) to get x
100/3.5757707338254=x
27.965998785671=x
x=27.965998785671

now we have:
23.03 is 27.965998785671% of 82.35