27.31 is what percent of 797.87 - 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 797.87 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 797.87, so we can write it down as 100%=797.87.
4. We know, that x% equals 27.31 of the output value, so we can write it down as x%=27.31.
5. Now we have two simple equations:
1) 100%=797.87
2) x%=27.31
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%=797.87/27.31
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 27.31 is what percent of 797.87

100%/x%=797.87/27.31
(100/x)*x=(797.87/27.31)*x       - we multiply both sides of the equation by x
100=29.21530574881*x       - we divide both sides of the equation by (29.21530574881) to get x
100/29.21530574881=x
3.4228633737326=x
x=3.4228633737326

now we have:
27.31 is 3.4228633737326% of 797.87