1172.78 is what percent of 1190.78 - 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 1190.78 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 1190.78, so we can write it down as 100%=1190.78.
4. We know, that x% equals 1172.78 of the output value, so we can write it down as x%=1172.78.
5. Now we have two simple equations:
1) 100%=1190.78
2) x%=1172.78
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%=1190.78/1172.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1172.78 is what percent of 1190.78

100%/x%=1190.78/1172.78
(100/x)*x=(1190.78/1172.78)*x       - we multiply both sides of the equation by x
100=1.0153481471376*x       - we divide both sides of the equation by (1.0153481471376) to get x
100/1.0153481471376=x
98.488385763953=x
x=98.488385763953

now we have:
1172.78 is 98.488385763953% of 1190.78