31.99 is what percent of 838.58 - 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 838.58 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 838.58, so we can write it down as 100%=838.58.
4. We know, that x% equals 31.99 of the output value, so we can write it down as x%=31.99.
5. Now we have two simple equations:
1) 100%=838.58
2) x%=31.99
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%=838.58/31.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 31.99 is what percent of 838.58

100%/x%=838.58/31.99
(100/x)*x=(838.58/31.99)*x       - we multiply both sides of the equation by x
100=26.213816817756*x       - we divide both sides of the equation by (26.213816817756) to get x
100/26.213816817756=x
3.8147821316988=x
x=3.8147821316988

now we have:
31.99 is 3.8147821316988% of 838.58