62.34 is what percent of 74.67 - 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 74.67 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 74.67, so we can write it down as 100%=74.67.
4. We know, that x% equals 62.34 of the output value, so we can write it down as x%=62.34.
5. Now we have two simple equations:
1) 100%=74.67
2) x%=62.34
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%=74.67/62.34
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 62.34 is what percent of 74.67

100%/x%=74.67/62.34
(100/x)*x=(74.67/62.34)*x       - we multiply both sides of the equation by x
100=1.1977863330125*x       - we divide both sides of the equation by (1.1977863330125) to get x
100/1.1977863330125=x
83.487344314986=x
x=83.487344314986

now we have:
62.34 is 83.487344314986% of 74.67