1710.18 is what percent of 3690.13 - 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 3690.13 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 3690.13, so we can write it down as 100%=3690.13.
4. We know, that x% equals 1710.18 of the output value, so we can write it down as x%=1710.18.
5. Now we have two simple equations:
1) 100%=3690.13
2) x%=1710.18
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%=3690.13/1710.18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1710.18 is what percent of 3690.13

100%/x%=3690.13/1710.18
(100/x)*x=(3690.13/1710.18)*x       - we multiply both sides of the equation by x
100=2.1577436293256*x       - we divide both sides of the equation by (2.1577436293256) to get x
100/2.1577436293256=x
46.344708722999=x
x=46.344708722999

now we have:
1710.18 is 46.344708722999% of 3690.13