90.07 is what percent of 978.82 - 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 978.82 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 978.82, so we can write it down as 100%=978.82.
4. We know, that x% equals 90.07 of the output value, so we can write it down as x%=90.07.
5. Now we have two simple equations:
1) 100%=978.82
2) x%=90.07
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%=978.82/90.07
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 90.07 is what percent of 978.82

100%/x%=978.82/90.07
(100/x)*x=(978.82/90.07)*x       - we multiply both sides of the equation by x
100=10.867325413567*x       - we divide both sides of the equation by (10.867325413567) to get x
100/10.867325413567=x
9.2018961606833=x
x=9.2018961606833

now we have:
90.07 is 9.2018961606833% of 978.82