1779.74 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 1779.74 of the output value, so we can write it down as x%=1779.74.
5. Now we have two simple equations:
1) 100%=17500
2) x%=1779.74
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%=17500/1779.74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1779.74 is what percent of 17500

100%/x%=17500/1779.74
(100/x)*x=(17500/1779.74)*x       - we multiply both sides of the equation by x
100=9.8328969400025*x       - we divide both sides of the equation by (9.8328969400025) to get x
100/9.8328969400025=x
10.169942857143=x
x=10.169942857143

now we have:
1779.74 is 10.169942857143% of 17500