26.24 is what percent of 1875.76 - 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 1875.76 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 1875.76, so we can write it down as 100%=1875.76.
4. We know, that x% equals 26.24 of the output value, so we can write it down as x%=26.24.
5. Now we have two simple equations:
1) 100%=1875.76
2) x%=26.24
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%=1875.76/26.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 26.24 is what percent of 1875.76

100%/x%=1875.76/26.24
(100/x)*x=(1875.76/26.24)*x       - we multiply both sides of the equation by x
100=71.484756097561*x       - we divide both sides of the equation by (71.484756097561) to get x
100/71.484756097561=x
1.3988996460102=x
x=1.3988996460102

now we have:
26.24 is 1.3988996460102% of 1875.76