84.26 is what percent of 29 - 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 29 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 29, so we can write it down as 100%=29.
4. We know, that x% equals 84.26 of the output value, so we can write it down as x%=84.26.
5. Now we have two simple equations:
1) 100%=29
2) x%=84.26
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%=29/84.26
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 84.26 is what percent of 29

100%/x%=29/84.26
(100/x)*x=(29/84.26)*x       - we multiply both sides of the equation by x
100=0.34417279848089*x       - we divide both sides of the equation by (0.34417279848089) to get x
100/0.34417279848089=x
290.55172413793=x
x=290.55172413793

now we have:
84.26 is 290.55172413793% of 29