377.5 is what percent of 538 - 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 538 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 538, so we can write it down as 100%=538.
4. We know, that x% equals 377.5 of the output value, so we can write it down as x%=377.5.
5. Now we have two simple equations:
1) 100%=538
2) x%=377.5
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%=538/377.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 377.5 is what percent of 538

100%/x%=538/377.5
(100/x)*x=(538/377.5)*x       - we multiply both sides of the equation by x
100=1.4251655629139*x       - we divide both sides of the equation by (1.4251655629139) to get x
100/1.4251655629139=x
70.167286245353=x
x=70.167286245353

now we have:
377.5 is 70.167286245353% of 538