6936.84 is what percent of 51.243 - 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 51.243 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 51.243, so we can write it down as 100%=51.243.
4. We know, that x% equals 6936.84 of the output value, so we can write it down as x%=6936.84.
5. Now we have two simple equations:
1) 100%=51.243
2) x%=6936.84
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%=51.243/6936.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6936.84 is what percent of 51.243

100%/x%=51.243/6936.84
(100/x)*x=(51.243/6936.84)*x       - we multiply both sides of the equation by x
100=0.0073870811493418*x       - we divide both sides of the equation by (0.0073870811493418) to get x
100/0.0073870811493418=x
13537.146537088=x
x=13537.146537088

now we have:
6936.84 is 13537.146537088% of 51.243