670.98 is what percent of 13420 - 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 13420 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 13420, so we can write it down as 100%=13420.
4. We know, that x% equals 670.98 of the output value, so we can write it down as x%=670.98.
5. Now we have two simple equations:
1) 100%=13420
2) x%=670.98
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%=13420/670.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 670.98 is what percent of 13420

100%/x%=13420/670.98
(100/x)*x=(13420/670.98)*x       - we multiply both sides of the equation by x
100=20.000596142955*x       - we divide both sides of the equation by (20.000596142955) to get x
100/20.000596142955=x
4.9998509687034=x
x=4.9998509687034

now we have:
670.98 is 4.9998509687034% of 13420