734.35 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 734.35 of the output value, so we can write it down as x%=734.35.
5. Now we have two simple equations:
1) 100%=790
2) x%=734.35
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%=790/734.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 734.35 is what percent of 790

100%/x%=790/734.35
(100/x)*x=(790/734.35)*x       - we multiply both sides of the equation by x
100=1.0757813031933*x       - we divide both sides of the equation by (1.0757813031933) to get x
100/1.0757813031933=x
92.955696202532=x
x=92.955696202532

now we have:
734.35 is 92.955696202532% of 790