76.2 is what percent of 213.5 - 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 213.5 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 213.5, so we can write it down as 100%=213.5.
4. We know, that x% equals 76.2 of the output value, so we can write it down as x%=76.2.
5. Now we have two simple equations:
1) 100%=213.5
2) x%=76.2
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%=213.5/76.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 76.2 is what percent of 213.5

100%/x%=213.5/76.2
(100/x)*x=(213.5/76.2)*x       - we multiply both sides of the equation by x
100=2.8018372703412*x       - we divide both sides of the equation by (2.8018372703412) to get x
100/2.8018372703412=x
35.690866510539=x
x=35.690866510539

now we have:
76.2 is 35.690866510539% of 213.5