29 is what percent of 1607 - 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 1607 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 1607, so we can write it down as 100%=1607.
4. We know, that x% equals 29 of the output value, so we can write it down as x%=29.
5. Now we have two simple equations:
1) 100%=1607
2) x%=29
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%=1607/29
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 29 is what percent of 1607

100%/x%=1607/29
(100/x)*x=(1607/29)*x       - we multiply both sides of the equation by x
100=55.413793103448*x       - we divide both sides of the equation by (55.413793103448) to get x
100/55.413793103448=x
1.8046048537648=x
x=1.8046048537648

now we have:
29 is 1.8046048537648% of 1607