381.94 is what percent of 17500 - 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 17500 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 17500, so we can write it down as 100%=17500.
4. We know, that x% equals 381.94 of the output value, so we can write it down as x%=381.94.
5. Now we have two simple equations:
1) 100%=17500
2) x%=381.94
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%=17500/381.94
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 381.94 is what percent of 17500

100%/x%=17500/381.94
(100/x)*x=(17500/381.94)*x       - we multiply both sides of the equation by x
100=45.818714981411*x       - we divide both sides of the equation by (45.818714981411) to get x
100/45.818714981411=x
2.1825142857143=x
x=2.1825142857143

now we have:
381.94 is 2.1825142857143% of 17500