698.4 is what percent of 790 - 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 790 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 790, so we can write it down as 100%=790.
4. We know, that x% equals 698.4 of the output value, so we can write it down as x%=698.4.
5. Now we have two simple equations:
1) 100%=790
2) x%=698.4
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%=790/698.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 698.4 is what percent of 790

100%/x%=790/698.4
(100/x)*x=(790/698.4)*x       - we multiply both sides of the equation by x
100=1.131156930126*x       - we divide both sides of the equation by (1.131156930126) to get x
100/1.131156930126=x
88.405063291139=x
x=88.405063291139

now we have:
698.4 is 88.405063291139% of 790