101.2 is what percent of 303.7 - 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 303.7 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 303.7, so we can write it down as 100%=303.7.
4. We know, that x% equals 101.2 of the output value, so we can write it down as x%=101.2.
5. Now we have two simple equations:
1) 100%=303.7
2) x%=101.2
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%=303.7/101.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 101.2 is what percent of 303.7

100%/x%=303.7/101.2
(100/x)*x=(303.7/101.2)*x       - we multiply both sides of the equation by x
100=3.0009881422925*x       - we divide both sides of the equation by (3.0009881422925) to get x
100/3.0009881422925=x
33.322357589727=x
x=33.322357589727

now we have:
101.2 is 33.322357589727% of 303.7