90.57 is what percent of 6966.73 - 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 6966.73 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 6966.73, so we can write it down as 100%=6966.73.
4. We know, that x% equals 90.57 of the output value, so we can write it down as x%=90.57.
5. Now we have two simple equations:
1) 100%=6966.73
2) x%=90.57
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%=6966.73/90.57
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 90.57 is what percent of 6966.73

100%/x%=6966.73/90.57
(100/x)*x=(6966.73/90.57)*x       - we multiply both sides of the equation by x
100=76.920945125317*x       - we divide both sides of the equation by (76.920945125317) to get x
100/76.920945125317=x
1.3000360283806=x
x=1.3000360283806

now we have:
90.57 is 1.3000360283806% of 6966.73