311.4 is what percent of 357.2 - 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 357.2 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 357.2, so we can write it down as 100%=357.2.
4. We know, that x% equals 311.4 of the output value, so we can write it down as x%=311.4.
5. Now we have two simple equations:
1) 100%=357.2
2) x%=311.4
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%=357.2/311.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 311.4 is what percent of 357.2

100%/x%=357.2/311.4
(100/x)*x=(357.2/311.4)*x       - we multiply both sides of the equation by x
100=1.1470777135517*x       - we divide both sides of the equation by (1.1470777135517) to get x
100/1.1470777135517=x
87.178051511758=x
x=87.178051511758

now we have:
311.4 is 87.178051511758% of 357.2