5112.09 is what percent of 6.982 - 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 6.982 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 6.982, so we can write it down as 100%=6.982.
4. We know, that x% equals 5112.09 of the output value, so we can write it down as x%=5112.09.
5. Now we have two simple equations:
1) 100%=6.982
2) x%=5112.09
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%=6.982/5112.09
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5112.09 is what percent of 6.982

100%/x%=6.982/5112.09
(100/x)*x=(6.982/5112.09)*x       - we multiply both sides of the equation by x
100=0.0013657819013359*x       - we divide both sides of the equation by (0.0013657819013359) to get x
100/0.0013657819013359=x
73218.132340304=x
x=73218.132340304

now we have:
5112.09 is 73218.132340304% of 6.982