137.31 is what percent of 824.27 - 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 824.27 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 824.27, so we can write it down as 100%=824.27.
4. We know, that x% equals 137.31 of the output value, so we can write it down as x%=137.31.
5. Now we have two simple equations:
1) 100%=824.27
2) x%=137.31
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%=824.27/137.31
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 137.31 is what percent of 824.27

100%/x%=824.27/137.31
(100/x)*x=(824.27/137.31)*x       - we multiply both sides of the equation by x
100=6.0029859442138*x       - we divide both sides of the equation by (6.0029859442138) to get x
100/6.0029859442138=x
16.658376502845=x
x=16.658376502845

now we have:
137.31 is 16.658376502845% of 824.27