29 is what percent of 1.968 - 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 1.968 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 1.968, so we can write it down as 100%=1.968.
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%=1.968
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%=1.968/29
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 1.968

100%/x%=1.968/29
(100/x)*x=(1.968/29)*x       - we multiply both sides of the equation by x
100=0.067862068965517*x       - we divide both sides of the equation by (0.067862068965517) to get x
100/0.067862068965517=x
1473.5772357724=x
x=1473.5772357724

now we have:
29 is 1473.5772357724% of 1.968