105.34 is what percent of 1432.2 - 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 1432.2 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 1432.2, so we can write it down as 100%=1432.2.
4. We know, that x% equals 105.34 of the output value, so we can write it down as x%=105.34.
5. Now we have two simple equations:
1) 100%=1432.2
2) x%=105.34
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%=1432.2/105.34
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 105.34 is what percent of 1432.2

100%/x%=1432.2/105.34
(100/x)*x=(1432.2/105.34)*x       - we multiply both sides of the equation by x
100=13.595974938295*x       - we divide both sides of the equation by (13.595974938295) to get x
100/13.595974938295=x
7.3551180002793=x
x=7.3551180002793

now we have:
105.34 is 7.3551180002793% of 1432.2