218.82 is what percent of 2325.03 - 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 2325.03 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 2325.03, so we can write it down as 100%=2325.03.
4. We know, that x% equals 218.82 of the output value, so we can write it down as x%=218.82.
5. Now we have two simple equations:
1) 100%=2325.03
2) x%=218.82
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%=2325.03/218.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 218.82 is what percent of 2325.03

100%/x%=2325.03/218.82
(100/x)*x=(2325.03/218.82)*x       - we multiply both sides of the equation by x
100=10.625308472717*x       - we divide both sides of the equation by (10.625308472717) to get x
100/10.625308472717=x
9.4114914646263=x
x=9.4114914646263

now we have:
218.82 is 9.4114914646263% of 2325.03