71.18 is what percent of 790.87 - 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 790.87 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 790.87, so we can write it down as 100%=790.87.
4. We know, that x% equals 71.18 of the output value, so we can write it down as x%=71.18.
5. Now we have two simple equations:
1) 100%=790.87
2) x%=71.18
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%=790.87/71.18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 71.18 is what percent of 790.87

100%/x%=790.87/71.18
(100/x)*x=(790.87/71.18)*x       - we multiply both sides of the equation by x
100=11.110845743186*x       - we divide both sides of the equation by (11.110845743186) to get x
100/11.110845743186=x
9.0002149531529=x
x=9.0002149531529

now we have:
71.18 is 9.0002149531529% of 790.87