28.57 is what percent of 293.21 - 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 293.21 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 293.21, so we can write it down as 100%=293.21.
4. We know, that x% equals 28.57 of the output value, so we can write it down as x%=28.57.
5. Now we have two simple equations:
1) 100%=293.21
2) x%=28.57
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%=293.21/28.57
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 28.57 is what percent of 293.21

100%/x%=293.21/28.57
(100/x)*x=(293.21/28.57)*x       - we multiply both sides of the equation by x
100=10.262863143157*x       - we divide both sides of the equation by (10.262863143157) to get x
100/10.262863143157=x
9.7438695815286=x
x=9.7438695815286

now we have:
28.57 is 9.7438695815286% of 293.21