29.03 is what percent of 825.7 - 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 825.7 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 825.7, so we can write it down as 100%=825.7.
4. We know, that x% equals 29.03 of the output value, so we can write it down as x%=29.03.
5. Now we have two simple equations:
1) 100%=825.7
2) x%=29.03
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%=825.7/29.03
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 29.03 is what percent of 825.7

100%/x%=825.7/29.03
(100/x)*x=(825.7/29.03)*x       - we multiply both sides of the equation by x
100=28.442990010334*x       - we divide both sides of the equation by (28.442990010334) to get x
100/28.442990010334=x
3.5158047717089=x
x=3.5158047717089

now we have:
29.03 is 3.5158047717089% of 825.7