1.02 is what percent of 29838 - 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 29838 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 29838, so we can write it down as 100%=29838.
4. We know, that x% equals 1.02 of the output value, so we can write it down as x%=1.02.
5. Now we have two simple equations:
1) 100%=29838
2) x%=1.02
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%=29838/1.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.02 is what percent of 29838

100%/x%=29838/1.02
(100/x)*x=(29838/1.02)*x       - we multiply both sides of the equation by x
100=29252.941176471*x       - we divide both sides of the equation by (29252.941176471) to get x
100/29252.941176471=x
0.0034184596822843=x
x=0.0034184596822843

now we have:
1.02 is 0.0034184596822843% of 29838