274.2 is what percent of 302.2 - 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 302.2 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 302.2, so we can write it down as 100%=302.2.
4. We know, that x% equals 274.2 of the output value, so we can write it down as x%=274.2.
5. Now we have two simple equations:
1) 100%=302.2
2) x%=274.2
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%=302.2/274.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 274.2 is what percent of 302.2

100%/x%=302.2/274.2
(100/x)*x=(302.2/274.2)*x       - we multiply both sides of the equation by x
100=1.1021152443472*x       - we divide both sides of the equation by (1.1021152443472) to get x
100/1.1021152443472=x
90.734612839179=x
x=90.734612839179

now we have:
274.2 is 90.734612839179% of 302.2