735.2 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 735.2 of the output value, so we can write it down as x%=735.2.
5. Now we have two simple equations:
1) 100%=790
2) x%=735.2
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%=790/735.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 735.2 is what percent of 790

100%/x%=790/735.2
(100/x)*x=(790/735.2)*x       - we multiply both sides of the equation by x
100=1.0745375408052*x       - we divide both sides of the equation by (1.0745375408052) to get x
100/1.0745375408052=x
93.063291139241=x
x=93.063291139241

now we have:
735.2 is 93.063291139241% of 790