521.19 is what percent of 34659.6 - 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 34659.6 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 34659.6, so we can write it down as 100%=34659.6.
4. We know, that x% equals 521.19 of the output value, so we can write it down as x%=521.19.
5. Now we have two simple equations:
1) 100%=34659.6
2) x%=521.19
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%=34659.6/521.19
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 521.19 is what percent of 34659.6

100%/x%=34659.6/521.19
(100/x)*x=(34659.6/521.19)*x       - we multiply both sides of the equation by x
100=66.500892189029*x       - we divide both sides of the equation by (66.500892189029) to get x
100/66.500892189029=x
1.5037392237648=x
x=1.5037392237648

now we have:
521.19 is 1.5037392237648% of 34659.6