774.02 is what percent of 875.83 - 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 875.83 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 875.83, so we can write it down as 100%=875.83.
4. We know, that x% equals 774.02 of the output value, so we can write it down as x%=774.02.
5. Now we have two simple equations:
1) 100%=875.83
2) x%=774.02
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%=875.83/774.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 774.02 is what percent of 875.83

100%/x%=875.83/774.02
(100/x)*x=(875.83/774.02)*x       - we multiply both sides of the equation by x
100=1.13153406889*x       - we divide both sides of the equation by (1.13153406889) to get x
100/1.13153406889=x
88.3755980042=x
x=88.3755980042

now we have:
774.02 is 88.3755980042% of 875.83