882.25 is what percent of 970 - 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 970 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 970, so we can write it down as 100%=970.
4. We know, that x% equals 882.25 of the output value, so we can write it down as x%=882.25.
5. Now we have two simple equations:
1) 100%=970
2) x%=882.25
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%=970/882.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 882.25 is what percent of 970

100%/x%=970/882.25
(100/x)*x=(970/882.25)*x       - we multiply both sides of the equation by x
100=1.0994616038538*x       - we divide both sides of the equation by (1.0994616038538) to get x
100/1.0994616038538=x
90.953608247423=x
x=90.953608247423

now we have:
882.25 is 90.953608247423% of 970