372.99 is what percent of 332.99 - 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 332.99 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 332.99, so we can write it down as 100%=332.99.
4. We know, that x% equals 372.99 of the output value, so we can write it down as x%=372.99.
5. Now we have two simple equations:
1) 100%=332.99
2) x%=372.99
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%=332.99/372.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 372.99 is what percent of 332.99

100%/x%=332.99/372.99
(100/x)*x=(332.99/372.99)*x       - we multiply both sides of the equation by x
100=0.89275851899515*x       - we divide both sides of the equation by (0.89275851899515) to get x
100/0.89275851899515=x
112.01237274393=x
x=112.01237274393

now we have:
372.99 is 112.01237274393% of 332.99