137.51 is what percent of 823.685 - 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 823.685 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 823.685, so we can write it down as 100%=823.685.
4. We know, that x% equals 137.51 of the output value, so we can write it down as x%=137.51.
5. Now we have two simple equations:
1) 100%=823.685
2) x%=137.51
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%=823.685/137.51
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 137.51 is what percent of 823.685

100%/x%=823.685/137.51
(100/x)*x=(823.685/137.51)*x       - we multiply both sides of the equation by x
100=5.9900007272198*x       - we divide both sides of the equation by (5.9900007272198) to get x
100/5.9900007272198=x
16.694488791225=x
x=16.694488791225

now we have:
137.51 is 16.694488791225% of 823.685