314.76 is what percent of 422.12 - 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 422.12 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 422.12, so we can write it down as 100%=422.12.
4. We know, that x% equals 314.76 of the output value, so we can write it down as x%=314.76.
5. Now we have two simple equations:
1) 100%=422.12
2) x%=314.76
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%=422.12/314.76
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 314.76 is what percent of 422.12

100%/x%=422.12/314.76
(100/x)*x=(422.12/314.76)*x       - we multiply both sides of the equation by x
100=1.3410852713178*x       - we divide both sides of the equation by (1.3410852713178) to get x
100/1.3410852713178=x
74.566473988439=x
x=74.566473988439

now we have:
314.76 is 74.566473988439% of 422.12