1759.5 is what percent of 23699.88 - 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 23699.88 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 23699.88, so we can write it down as 100%=23699.88.
4. We know, that x% equals 1759.5 of the output value, so we can write it down as x%=1759.5.
5. Now we have two simple equations:
1) 100%=23699.88
2) x%=1759.5
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%=23699.88/1759.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1759.5 is what percent of 23699.88

100%/x%=23699.88/1759.5
(100/x)*x=(23699.88/1759.5)*x       - we multiply both sides of the equation by x
100=13.469667519182*x       - we divide both sides of the equation by (13.469667519182) to get x
100/13.469667519182=x
7.4240882232315=x
x=7.4240882232315

now we have:
1759.5 is 7.4240882232315% of 23699.88