286.74 is what percent of 326.7 - 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 326.7 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 326.7, so we can write it down as 100%=326.7.
4. We know, that x% equals 286.74 of the output value, so we can write it down as x%=286.74.
5. Now we have two simple equations:
1) 100%=326.7
2) x%=286.74
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%=326.7/286.74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 286.74 is what percent of 326.7

100%/x%=326.7/286.74
(100/x)*x=(326.7/286.74)*x       - we multiply both sides of the equation by x
100=1.1393596986817*x       - we divide both sides of the equation by (1.1393596986817) to get x
100/1.1393596986817=x
87.768595041322=x
x=87.768595041322

now we have:
286.74 is 87.768595041322% of 326.7