20009.95 is what percent of 34.2 - 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 34.2 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 34.2, so we can write it down as 100%=34.2.
4. We know, that x% equals 20009.95 of the output value, so we can write it down as x%=20009.95.
5. Now we have two simple equations:
1) 100%=34.2
2) x%=20009.95
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%=34.2/20009.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20009.95 is what percent of 34.2

100%/x%=34.2/20009.95
(100/x)*x=(34.2/20009.95)*x       - we multiply both sides of the equation by x
100=0.0017091496980252*x       - we divide both sides of the equation by (0.0017091496980252) to get x
100/0.0017091496980252=x
58508.625730994=x
x=58508.625730994

now we have:
20009.95 is 58508.625730994% of 34.2