26.86 is what percent of 433.25 - 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 433.25 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 433.25, so we can write it down as 100%=433.25.
4. We know, that x% equals 26.86 of the output value, so we can write it down as x%=26.86.
5. Now we have two simple equations:
1) 100%=433.25
2) x%=26.86
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%=433.25/26.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 26.86 is what percent of 433.25

100%/x%=433.25/26.86
(100/x)*x=(433.25/26.86)*x       - we multiply both sides of the equation by x
100=16.129932985853*x       - we divide both sides of the equation by (16.129932985853) to get x
100/16.129932985853=x
6.199653779573=x
x=6.199653779573

now we have:
26.86 is 6.199653779573% of 433.25