29.4 is what percent of 1692.32 - 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 1692.32 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 1692.32, so we can write it down as 100%=1692.32.
4. We know, that x% equals 29.4 of the output value, so we can write it down as x%=29.4.
5. Now we have two simple equations:
1) 100%=1692.32
2) x%=29.4
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%=1692.32/29.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 29.4 is what percent of 1692.32

100%/x%=1692.32/29.4
(100/x)*x=(1692.32/29.4)*x       - we multiply both sides of the equation by x
100=57.561904761905*x       - we divide both sides of the equation by (57.561904761905) to get x
100/57.561904761905=x
1.7372600926539=x
x=1.7372600926539

now we have:
29.4 is 1.7372600926539% of 1692.32