387.2 is what percent of 426 - 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 426 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 426, so we can write it down as 100%=426.
4. We know, that x% equals 387.2 of the output value, so we can write it down as x%=387.2.
5. Now we have two simple equations:
1) 100%=426
2) x%=387.2
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%=426/387.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 387.2 is what percent of 426

100%/x%=426/387.2
(100/x)*x=(426/387.2)*x       - we multiply both sides of the equation by x
100=1.1002066115702*x       - we divide both sides of the equation by (1.1002066115702) to get x
100/1.1002066115702=x
90.892018779343=x
x=90.892018779343

now we have:
387.2 is 90.892018779343% of 426