35 is what percent of 17624 - 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 17624 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 17624, so we can write it down as 100%=17624.
4. We know, that x% equals 35 of the output value, so we can write it down as x%=35.
5. Now we have two simple equations:
1) 100%=17624
2) x%=35
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%=17624/35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 35 is what percent of 17624

100%/x%=17624/35
(100/x)*x=(17624/35)*x       - we multiply both sides of the equation by x
100=503.54285714286*x       - we divide both sides of the equation by (503.54285714286) to get x
100/503.54285714286=x
0.19859282796187=x
x=0.19859282796187

now we have:
35 is 0.19859282796187% of 17624