70.93 is what percent of 671.12 - 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 671.12 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 671.12, so we can write it down as 100%=671.12.
4. We know, that x% equals 70.93 of the output value, so we can write it down as x%=70.93.
5. Now we have two simple equations:
1) 100%=671.12
2) x%=70.93
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%=671.12/70.93
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 70.93 is what percent of 671.12

100%/x%=671.12/70.93
(100/x)*x=(671.12/70.93)*x       - we multiply both sides of the equation by x
100=9.4617228253207*x       - we divide both sides of the equation by (9.4617228253207) to get x
100/9.4617228253207=x
10.568899749672=x
x=10.568899749672

now we have:
70.93 is 10.568899749672% of 671.12