26.78 is what percent of 1500 - 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 1500 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 1500, so we can write it down as 100%=1500.
4. We know, that x% equals 26.78 of the output value, so we can write it down as x%=26.78.
5. Now we have two simple equations:
1) 100%=1500
2) x%=26.78
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%=1500/26.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 26.78 is what percent of 1500

100%/x%=1500/26.78
(100/x)*x=(1500/26.78)*x       - we multiply both sides of the equation by x
100=56.011949215833*x       - we divide both sides of the equation by (56.011949215833) to get x
100/56.011949215833=x
1.7853333333333=x
x=1.7853333333333

now we have:
26.78 is 1.7853333333333% of 1500