38.05 is what percent of 26.87 - 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 26.87 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 26.87, so we can write it down as 100%=26.87.
4. We know, that x% equals 38.05 of the output value, so we can write it down as x%=38.05.
5. Now we have two simple equations:
1) 100%=26.87
2) x%=38.05
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%=26.87/38.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 38.05 is what percent of 26.87

100%/x%=26.87/38.05
(100/x)*x=(26.87/38.05)*x       - we multiply both sides of the equation by x
100=0.70617608409987*x       - we divide both sides of the equation by (0.70617608409987) to get x
100/0.70617608409987=x
141.60774097507=x
x=141.60774097507

now we have:
38.05 is 141.60774097507% of 26.87